Question

$$28.5=20+30-(5+x)/20 \times 10$$

Answer

x=38

Solution


Simplify  \(\frac{5+x}{20}\times 10\)  to  \(\frac{5+x}{2}\).
\[28.5=20+30-\frac{5+x}{2}\]
Simplify  \(20+30-\frac{5+x}{2}\)  to  \(50-\frac{5+x}{2}\).
\[28.5=50-\frac{5+x}{2}\]
Subtract \(50\) from both sides.
\[28.5-50=-\frac{5+x}{2}\]
Simplify  \(28.5-50\)  to  \(-21.5\).
\[-21.5=-\frac{5+x}{2}\]
Multiply both sides by \(2\).
\[-21.5\times 2=-5-x\]
Simplify  \(-21.5\times 2\)  to  \(-43\).
\[-43=-5-x\]
Add \(5\) to both sides.
\[-43+5=-x\]
Simplify  \(-43+5\)  to  \(-38\).
\[-38=-x\]
Multiply both sides by \(-1\).
\[38=x\]
Switch sides.
\[x=38\]