Question Solve the linear equation $8x - 2.5 = 5.5$ for $x$ .

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is $8x - 2.5 = 5.5$ .
2. We will use algebraic methods to isolate $x$ and solve for its value.

STEP 2

First, we need to isolate the term containing $x$ by moving the constant term on the left side of the equation to the right side. We do this by adding $2.5$ to both sides of the equation.
$8x - 2.5 + 2.5 = 5.5 + 2.5$

STEP 3

Simplify both sides of the equation to combine like terms.
$8x = 5.5 + 2.5$

STEP 4

Calculate the sum on the right side of the equation.
$8x = 8.0$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $8$ .
$\frac{8x}{8} = \frac{8.0}{8}$

STEP 6

Perform the division to solve for $x$ .
$x = 1.0$
The solution to the equation $8x - 2.5 = 5.5$ is $x = 1.0$ .

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Question Solve the linear equation $8x - 2.5 = 5.5$ for $x$ .

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is $8x - 2.5 = 5.5$ .
2. We will use algebraic methods to isolate $x$ and solve for its value.

STEP 2

First, we need to isolate the term containing $x$ by moving the constant term on the left side of the equation to the right side. We do this by adding $2.5$ to both sides of the equation.
$8x - 2.5 + 2.5 = 5.5 + 2.5$

STEP 3

Simplify both sides of the equation to combine like terms.
$8x = 5.5 + 2.5$

STEP 4

Calculate the sum on the right side of the equation.
$8x = 8.0$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $8$ .
$\frac{8x}{8} = \frac{8.0}{8}$

STEP 6

Perform the division to solve for $x$ .
$x = 1.0$
The solution to the equation $8x - 2.5 = 5.5$ is $x = 1.0$ .

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Question Solve the linear equation 8x−2.5=5.58x - 2.5 = 5.58x−2.5=5.5 for xxx.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 8x−2.5=5.58x - 2.5 = 5.58x−2.5=5.5.2. We will use algebraic methods to isolate xxx and solve for its value.

STEP 2

First, we need to isolate the term containing xxx by moving the constant term on the left side of the equation to the right side. We do this by adding 2.52.52.5 to both sides of the equation.8x−2.5+2.5=5.5+2.58x - 2.5 + 2.5 = 5.5 + 2.58x−2.5+2.5=5.5+2.5

STEP 3

Simplify both sides of the equation to combine like terms.8x=5.5+2.58x = 5.5 + 2.58x=5.5+2.5

STEP 4

Calculate the sum on the right side of the equation.8x=8.08x = 8.08x=8.0

STEP 5

Now, we need to isolate xxx by dividing both sides of the equation by the coefficient of xxx, which is 888.8x8=8.08\frac{8x}{8} = \frac{8.0}{8}88x​=88.0​

STEP 6

Perform the division to solve for xxx.x=1.0x = 1.0x=1.0The solution to the equation 8x−2.5=5.58x - 2.5 = 5.58x−2.5=5.5 is x=1.0x = 1.0x=1.0.

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Question Solve the linear equation $8x - 2.5 = 5.5$ for $x$ .

Assumptions
1. The equation to solve is $8x - 2.5 = 5.5$ .
2. We will use algebraic methods to isolate $x$ and solve for its value.

First, we need to isolate the term containing $x$ by moving the constant term on the left side of the equation to the right side. We do this by adding $2.5$ to both sides of the equation.
$8x - 2.5 + 2.5 = 5.5 + 2.5$

Simplify both sides of the equation to combine like terms.
$8x = 5.5 + 2.5$

Calculate the sum on the right side of the equation.
$8x = 8.0$

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $8$ .
$\frac{8x}{8} = \frac{8.0}{8}$

Perform the division to solve for $x$ .
$x = 1.0$
The solution to the equation $8x - 2.5 = 5.5$ is $x = 1.0$ .