Question

$$0.5(3q+87)=1.5q+43$$

Answer

q=-29.037037037037

Solution


Expand.
\[15q+435=1.5q+43\]
Subtract \(1.5q\) from both sides.
\[15q+435-1.5q=43\]
Simplify  \(15q+435-1.5q\)  to  \(13.5q+435\).
\[13.5q+435=43\]
Subtract \(435\) from both sides.
\[13.5q=43-435\]
Simplify  \(43-435\)  to  \(-392\).
\[13.5q=-392\]
Divide both sides by \(13.5\).
\[q=-\frac{392}{13.5}\]
Simplify  \(\frac{392}{13.5}\)  to  \(29.037037\).
\[q=-29.037037\]