Question

$$-2(4-x)=6(x+2)+3x$$

Answer

x=-20/7

Solution


Expand.
\[-8+2x=6x+12+3x\]
Regroup terms.
\[2x-8=6x+12+3x\]
Simplify  \(6x+12+3x\)  to  \(9x+12\).
\[2x-8=9x+12\]
Subtract \(2x\) from both sides.
\[-8=9x+12-2x\]
Simplify  \(9x+12-2x\)  to  \(7x+12\).
\[-8=7x+12\]
Subtract \(12\) from both sides.
\[-8-12=7x\]
Simplify  \(-8-12\)  to  \(-20\).
\[-20=7x\]
Divide both sides by \(7\).
\[-\frac{20}{7}=x\]
Switch sides.
\[x=-\frac{20}{7}\]

Decimal Form: -2.857143