Respuesta :
Answer: x = 75
Explanation:
The expression we have is:
[tex]\frac{2}{3}(x-9)=\frac{1}{3}x+19[/tex]to solve for x.
Step 1: Use the distributive property (multiply the numbers outside the parenthesis by the numbers inside the parenthesis)
[tex]\frac{2}{3}x-\frac{18}{3}=\frac{1}{3}x+19[/tex]We can simplify 18/3 to 6:
[tex]\frac{2}{3}x-6=\frac{1}{3}x+19[/tex]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)
[tex]\frac{2}{3}x-\frac{1}{3}x=19+6[/tex]Step 3: Combine like terms
[tex]\frac{1}{3}x=25[/tex]step 4: Multiply both sides of the equation by 3
[tex]\begin{gathered} 3(\frac{1}{3}x)=3\cdot25 \\ x=75 \end{gathered}[/tex]Answer: x=75
