Solve 6(2x+4)=-8(2+x)

$$6(2x+4)=-8(2+x)$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2x+4.

$$12x+24=-8\left(2+x\right)$$

Use the distributive property to multiply -8 by 2+x.

$$12x+24=-16-8x$$

Add 8x to both sides.

$$12x+24+8x=-16$$

Combine 12x and 8x to get 20x.

$$20x+24=-16$$

Subtract 24 from both sides.

$$20x=-16-24$$

Subtract 24 from -16 to get -40.

$$20x=-40$$

Divide both sides by 20.

$$x=\frac{-40}{20}$$

Divide -40 by 20 to get -2.

$$x=-2$$