SOLUTION
We are asked what value of x makes the equation
[tex]0.75(x+20)=2+0.5(x-2)[/tex]
to be true.
This means we have to solve for x in the above equation.
This becomes
[tex]\begin{gathered} 0.75(x+20)=2+0.5(x-2) \\ \text{expanding we have} \\ 0.75x+15=2+0.5x-1 \\ \text{collecting like terms we have } \\ 0.75x-0.25x=2-1-15 \\ 0.25x=-14 \\ \text{dividing both sides by 0.25} \\ x=\frac{-14}{0.25} \\ x=-56 \end{gathered}[/tex]
Hence, the answer is -56
