Math / Algebra

QuestionSolve $x-3=6$ $x=\ldots$

Studdy Solution

STEP 1

1. The equation $x - 3 = 6$ is asking us to solve for $x$ .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically addition.

STEP 2

1. Think about what the equation says.
2. Isolate the variable $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

The equation $x - 3 = 6$ is saying that when 3 is subtracted from $x$ , the result is 6.

STEP 4

To isolate $x$ , we need to do the opposite of subtracting 3, which is adding 3. So, add 3 to both sides of the equation:
$x - 3 + 3 = 6 + 3$

STEP 5

Simplify both sides of the equation:
$x = 9$

STEP 6

We should always check the solution by substituting it back into the original equation.
Substitute $x = 9$ :
$9 - 3 = 6$
We are checking, does the left-hand side equal the right-hand side?

STEP 7

Simplify both sides separately:
$6 = 6$
Yes! Both sides are equal.
Therefore, the solution is:
$\boxed{9}$

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QuestionSolve $x-3=6$ $x=\ldots$

Studdy Solution

STEP 1

1. The equation $x - 3 = 6$ is asking us to solve for $x$ .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically addition.

STEP 2

1. Think about what the equation says.
2. Isolate the variable $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

The equation $x - 3 = 6$ is saying that when 3 is subtracted from $x$ , the result is 6.

STEP 4

To isolate $x$ , we need to do the opposite of subtracting 3, which is adding 3. So, add 3 to both sides of the equation:
$x - 3 + 3 = 6 + 3$

STEP 5

Simplify both sides of the equation:
$x = 9$

STEP 6

We should always check the solution by substituting it back into the original equation.
Substitute $x = 9$ :
$9 - 3 = 6$
We are checking, does the left-hand side equal the right-hand side?

STEP 7

Simplify both sides separately:
$6 = 6$
Yes! Both sides are equal.
Therefore, the solution is:
$\boxed{9}$

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QuestionSolve x−3=6x-3=6x−3=6 x=…x=\ldotsx=…

Studdy Solution

STEP 1

1. The equation x−3=6 x - 3 = 6 x−3=6 is asking us to solve for x x x.2. This is a one-step equation with one solution.3. The equation involves basic algebraic operations, specifically addition.

STEP 2

1. Think about what the equation says.2. Isolate the variable x x x by performing algebraic operations.3. Check the solution by substituting it back into the original equation.

STEP 3

The equation x−3=6 x - 3 = 6 x−3=6 is saying that when 3 is subtracted from x x x, the result is 6.

STEP 4

To isolate x x x, we need to do the opposite of subtracting 3, which is adding 3. So, add 3 to both sides of the equation:x−3+3=6+3 x - 3 + 3 = 6 + 3 x−3+3=6+3

STEP 5

Simplify both sides of the equation:x=9 x = 9 x=9

STEP 6

We should always check the solution by substituting it back into the original equation.Substitute x=9 x = 9 x=9:9−3=6 9 - 3 = 6 9−3=6We are checking, does the left-hand side equal the right-hand side?

STEP 7

Simplify both sides separately:6=6 6 = 6 6=6Yes! Both sides are equal.Therefore, the solution is:9 \boxed{9} 9​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve $x-3=6$ $x=\ldots$

1. The equation $x - 3 = 6$ is asking us to solve for $x$ .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically addition.

1. Think about what the equation says.
2. Isolate the variable $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

The equation $x - 3 = 6$ is saying that when 3 is subtracted from $x$ , the result is 6.

To isolate $x$ , we need to do the opposite of subtracting 3, which is adding 3. So, add 3 to both sides of the equation:
$x - 3 + 3 = 6 + 3$

Simplify both sides of the equation:
$x = 9$

We should always check the solution by substituting it back into the original equation.
Substitute $x = 9$ :
$9 - 3 = 6$
We are checking, does the left-hand side equal the right-hand side?

Simplify both sides separately:
$6 = 6$
Yes! Both sides are equal.
Therefore, the solution is:
$\boxed{9}$