QuestionSolve the equation: $\frac{3 x-6}{3}+9=18$ for $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{3 x-6}{3}+9=18$ . We are solving for the variable $x$

STEP 2

First, we simplify the equation by distributing the denominator in the fraction to both terms in the numerator.
$\frac{ x-6}{}+9=18$ Becomes $x -2 +9 =18$

STEP 3

Next, we combine like terms on the left side of the equation.
$x -2 +9 =18$ Becomes $x +7 =18$

STEP 4

Now, we isolate the variable $x$ by subtracting7 from both sides of the equation.
$x +7 =18$ Becomes $x =18 -7$

STEP 5

Finally, we calculate the value of $x$ .
$x =18 -7 =11$ So, $x=11$ is the solution to the equation.

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QuestionSolve the equation: $\frac{3 x-6}{3}+9=18$ for $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{3 x-6}{3}+9=18$ . We are solving for the variable $x$

STEP 2

First, we simplify the equation by distributing the denominator in the fraction to both terms in the numerator.
$\frac{ x-6}{}+9=18$ Becomes $x -2 +9 =18$

STEP 3

Next, we combine like terms on the left side of the equation.
$x -2 +9 =18$ Becomes $x +7 =18$

STEP 4

Now, we isolate the variable $x$ by subtracting7 from both sides of the equation.
$x +7 =18$ Becomes $x =18 -7$

STEP 5

Finally, we calculate the value of $x$ .
$x =18 -7 =11$ So, $x=11$ is the solution to the equation.

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QuestionSolve the equation: 3x−63+9=18\frac{3 x-6}{3}+9=1833x−6​+9=18 for xxx.

Studdy Solution

STEP 1

Assumptions1. The equation is 3x−63+9=18\frac{3 x-6}{3}+9=1833x−6​+9=18 . We are solving for the variable xxx

STEP 2

First, we simplify the equation by distributing the denominator in the fraction to both terms in the numerator.x−6+9=18\frac{ x-6}{}+9=18x−6​+9=18Becomesx−2+9=18x -2 +9 =18x−2+9=18

STEP 3

Next, we combine like terms on the left side of the equation.x−2+9=18x -2 +9 =18x−2+9=18Becomesx+7=18x +7 =18x+7=18

STEP 4

Now, we isolate the variable xxx by subtracting7 from both sides of the equation.x+7=18x +7 =18x+7=18Becomesx=18−7x =18 -7x=18−7

STEP 5

Finally, we calculate the value of xxx.x=18−7=11x =18 -7 =11x=18−7=11So, x=11x=11x=11 is the solution to the equation.

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Studdy solves anything!

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QuestionSolve the equation: $\frac{3 x-6}{3}+9=18$ for $x$ .

Assumptions1. The equation is $\frac{3 x-6}{3}+9=18$ . We are solving for the variable $x$

First, we simplify the equation by distributing the denominator in the fraction to both terms in the numerator.
$\frac{ x-6}{}+9=18$ Becomes $x -2 +9 =18$

Next, we combine like terms on the left side of the equation.
$x -2 +9 =18$ Becomes $x +7 =18$

Now, we isolate the variable $x$ by subtracting7 from both sides of the equation.
$x +7 =18$ Becomes $x =18 -7$

Finally, we calculate the value of $x$ .
$x =18 -7 =11$ So, $x=11$ is the solution to the equation.