Question

$$2(x+4)=-3(x+5)$$

Answer

x=-23/5

Solution


Expand.
\[2x+8=-3x-15\]
Add \(3x\) to both sides.
\[2x+8+3x=-15\]
Simplify  \(2x+8+3x\)  to  \(5x+8\).
\[5x+8=-15\]
Subtract \(8\) from both sides.
\[5x=-15-8\]
Simplify  \(-15-8\)  to  \(-23\).
\[5x=-23\]
Divide both sides by \(5\).
\[x=-\frac{23}{5}\]

Decimal Form: -4.6