Question

What value of x makes the followingequation true?2/3 (x - 9 ) = 1/3x + 19

Answer 1

Answer: x = 75

Step-by-step explanation:

The expression we have is:

`(2)/(3)(x-9)=(1)/(3)x+19`

to solve for x.

Step 1: Use the distributive property (multiply the numbers outside the parenthesis by the numbers inside the parenthesis)

`(2)/(3)x-(18)/(3)=(1)/(3)x+19`

We can simplify 18/3 to 6:

`(2)/(3)x-6=(1)/(3)x+19`

Step 2: Move all of the terms that contain x to the left and all of the independent terms to the right. (Note* when we move a term to the opposite side of the equation it does that with the opposite operation in this case opposite sign)

`(2)/(3)x-(1)/(3)x=19+6`

Step 3: Combine like terms

`(1)/(3)x=25`

step 4: Multiply both sides of the equation by 3

`\begin{gathered} 3((1)/(3)x)=3\cdot25 \\ x=75 \end{gathered}`

Answer: x=75