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QuestionSolve for xx in the equation 13x−9=10x+1813 x - 9 = 10 x + 18.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 13x−9=10x+1813x -9 =10x +18. . We are asked to solve for xx.

STEP 2

First, we need to isolate xx on one side of the equation. We can do this by subtracting 10x10x from both sides of the equation.
13x−10x−9=10x−10x+1813x -10x -9 =10x -10x +18

STEP 3

implify the equation.
3x−9=183x -9 =18

STEP 4

Next, we need to isolate xx by adding 99 to both sides of the equation.
3x−9+9=18+93x -9 +9 =18 +9

STEP 5

implify the equation.
3x=273x =27

STEP 6

Finally, we need to solve for xx by dividing both sides of the equation by 33.
x=273x = \frac{27}{3}

STEP 7

Calculate the value of xx.
x=273=9x = \frac{27}{3} =9So, the solution to the equation 13x−9=10x+1813x -9 =10x +18 is x=9x =9.

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