Question

$$2x+8=3-3(x-5)$$

Answer

x=2

Solution


Expand.
\[2x+8=3-3x+15\]
Simplify  \(3-3x+15\)  to  \(-3x+18\).
\[2x+8=-3x+18\]
Subtract \(8\) from both sides.
\[2x=-3x+18-8\]
Simplify  \(-3x+18-8\)  to  \(-3x+10\).
\[2x=-3x+10\]
Add \(3x\) to both sides.
\[2x+3x=10\]
Simplify  \(2x+3x\)  to  \(5x\).
\[5x=10\]
Divide both sides by \(5\).
\[x=\frac{10}{5}\]
Simplify  \(\frac{10}{5}\)  to  \(2\).
\[x=2\]