Math

QuestionSolve the equation 9x=2x39 - x = 2x - 3 and match the solution to the correct description.

Studdy Solution

STEP 1

Assumptions1. The equation given is 9x=x39-x=x-3 . We need to find the solution for xx which satisfies this equation

STEP 2

First, we need to bring all the terms involving xx to one side of the equation and the constants to the other side. We can do this by adding xx to both sides and adding $$ to both sides.
9x+x+=2x+x+9-x+ x + =2x - + x +

STEP 3

implify the equation to get12=3x12 =3x

STEP 4

Now, we can solve for xx by dividing both sides of the equation by 33.
x=123x = \frac{12}{3}

STEP 5

Calculate the value of xx.
x=123=4x = \frac{12}{3} =4The solution of the equation 9x=2x39-x=2x-3 is x=4x=4.

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