Solve 20-15(2x-4)=-18-2(x+7)

$$20 - 15 ( 2 x - 4 ) = - 18 - 2 ( x + 7 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -15 by 2x-4.

$$20-30x+60=-18-2\left(x+7\right)$$

Add 20 and 60 to get 80.

$$80-30x=-18-2\left(x+7\right)$$

Use the distributive property to multiply -2 by x+7.

$$80-30x=-18-2x-14$$

Subtract 14 from -18 to get -32.

$$80-30x=-32-2x$$

Add 2x to both sides.

$$80-30x+2x=-32$$

Combine -30x and 2x to get -28x.

$$80-28x=-32$$

Subtract 80 from both sides.

$$-28x=-32-80$$

Subtract 80 from -32 to get -112.

$$-28x=-112$$

Divide both sides by -28.

$$x=\frac{-112}{-28}$$

Divide -112 by -28 to get 4.

$$x=4$$