Solve 8(x+7)+8=-6(x-4)-2

$$8 ( x + 7 ) + 8 = - 6 ( x - 4 ) - 2$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x+7.

$$8x+56+8=-6\left(x-4\right)-2$$

Add 56 and 8 to get 64.

$$8x+64=-6\left(x-4\right)-2$$

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

$$8x+64=-6x+24-2$$

Subtract 2 from 24 to get 22.

$$8x+64=-6x+22$$

Add 6x to both sides.

$$8x+64+6x=22$$

Combine 8x and 6x to get 14x.

$$14x+64=22$$

Subtract 64 from both sides.

$$14x=22-64$$

Subtract 64 from 22 to get -42.

$$14x=-42$$

Divide both sides by 14.

$$x=\frac{-42}{14}$$

Divide -42 by 14 to get -3.

$$x=-3$$