Question

$$-(x+2)=2(3x-6)$$

Answer

x=10/7

Solution


Remove parentheses.
\[-x-2=2(3x-6)\]
Expand.
\[-x-2=6x-12\]
Add \(x\) to both sides.
\[-2=6x-12+x\]
Simplify  \(6x-12+x\)  to  \(7x-12\).
\[-2=7x-12\]
Add \(12\) to both sides.
\[-2+12=7x\]
Simplify  \(-2+12\)  to  \(10\).
\[10=7x\]
Divide both sides by \(7\).
\[\frac{10}{7}=x\]
Switch sides.
\[x=\frac{10}{7}\]

Decimal Form: 1.428571