Solve -12(x+6)=4(x-6)

$$-12(x+6)=4(x-6)$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -12 by x+6.

$$-12x-72=4\left(x-6\right)$$

Use the distributive property to multiply 4 by x-6.

$$-12x-72=4x-24$$

Subtract 4x from both sides.

$$-12x-72-4x=-24$$

Combine -12x and -4x to get -16x.

$$-16x-72=-24$$

Add 72 to both sides.

$$-16x=-24+72$$

Add -24 and 72 to get 48.

$$-16x=48$$

Divide both sides by -16.

$$x=\frac{48}{-16}$$

Divide 48 by -16 to get -3.

$$x=-3$$