Math

QuestionSolve the equation: x83=23\frac{x-8}{3}=\frac{2}{3}.

Studdy Solution

STEP 1

Assumptions1. The equation is x83=3\frac{x-8}{3}=\frac{}{3}

STEP 2

To solve for xx, we need to isolate xx on one side of the equation. We can start by multiplying both sides of the equation by to get rid of the denominator.
x8=2 \cdot \frac{x-8}{} = \cdot \frac{2}{}

STEP 3

implify both sides of the equation.
x8=2x-8 =2

STEP 4

Now, we can solve for xx by adding8 to both sides of the equation.
x8+8=2+8x-8+8 =2+8

STEP 5

implify the equation to find the value of xx.
x=2+8x =2+8

STEP 6

Calculate the value of xx.
x=10x =10So, the solution to the equation x83=23\frac{x-8}{3}=\frac{2}{3} is x=10x =10.

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