Question

Please help me answer question 7 on my algebra 1 worksheet

Answer 1

We are asked what value of x makes the equation

`0.75(x+20)=2+0.5(x-2)`

to be true.

This means we have to solve for x in the above equation.

This becomes

`\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=(-14)/(0.25) \\ x=-56 \end{gathered}`

Hence, the answer is -56