Solve 8(1+x)=-6-6(x-7)

$$8 ( 1 + x ) = - 6 - 6 ( x - 7 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 1+x.

$$8+8x=-6-6\left(x-7\right)$$

Use the distributive property to multiply -6 by x-7.

$$8+8x=-6-6x+42$$

Add -6 and 42 to get 36.

$$8+8x=36-6x$$

Add 6x to both sides.

$$8+8x+6x=36$$

Combine 8x and 6x to get 14x.

$$8+14x=36$$

Subtract 8 from both sides.

$$14x=36-8$$

Subtract 8 from 36 to get 28.

$$14x=28$$

Divide both sides by 14.

$$x=\frac{28}{14}$$

Divide 28 by 14 to get 2.

$$x=2$$