Solve 2/3(6x+12)=-24

$$\frac { 2 } { 3 } ( 6 x + 12 ) = - 24$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$6x+12=-24\times \frac{3}{2}$$

Express -24\times \frac{3}{2} as a single fraction.

$$6x+12=\frac{-24\times 3}{2}$$

Multiply -24 and 3 to get -72.

$$6x+12=\frac{-72}{2}$$

Divide -72 by 2 to get -36.

$$6x+12=-36$$

Subtract 12 from both sides.

$$6x=-36-12$$

Subtract 12 from -36 to get -48.

$$6x=-48$$

Divide both sides by 6.

$$x=\frac{-48}{6}$$

Divide -48 by 6 to get -8.

$$x=-8$$