Math

QuestionSolve for xx: 3x63=9\frac{3 x-6}{3}=9

Studdy Solution

STEP 1

Assumptions1. We are solving the equation for the variable x. . The equation is 3x63=9\frac{3 x-6}{3}=9.

STEP 2

First, we can simplify the equation by multiplying both sides by to eliminate the denominator on the left side.
×x6=×9 \times \frac{ x-6}{} = \times9

STEP 3

After multiplying, the equation simplifies to3x6=273 x-6 =27

STEP 4

Next, we can isolate the term with x by adding6 to both sides of the equation.
3x6+6=27+63 x-6 +6 =27 +6

STEP 5

After adding, the equation simplifies to3x=333 x =33

STEP 6

Finally, we can solve for x by dividing both sides of the equation by3.
x=333x = \frac{33}{3}

STEP 7

After dividing, we find thatx=11x =11So, the solution to the equation 3x63=9\frac{3 x-6}{3}=9 is x=11x =11.

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