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

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

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

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

$$2x+12=6-4\left(x+6\right)$$

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

$$2x+12=6-4x-24$$

Subtract 24 from 6 to get -18.

$$2x+12=-18-4x$$

Add 4x to both sides.

$$2x+12+4x=-18$$

Combine 2x and 4x to get 6x.

$$6x+12=-18$$

Subtract 12 from both sides.

$$6x=-18-12$$

Subtract 12 from -18 to get -30.

$$6x=-30$$

Divide both sides by 6.

$$x=\frac{-30}{6}$$

Divide -30 by 6 to get -5.

$$x=-5$$