Solve 4(2-x)+5=-3(2x+3)-12

$$4 ( 2 - x ) + 5 = - 3 ( 2 x + 3 ) - 12$$

Solve for x

$$x=-17$$

Steps for Solving Linear Equation

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

$$8-4x+5=-3\left(2x+3\right)-12$$

Add 8 and 5 to get 13.

$$13-4x=-3\left(2x+3\right)-12$$

Use the distributive property to multiply -3 by 2x+3.

$$13-4x=-6x-9-12$$

Subtract 12 from -9 to get -21.

$$13-4x=-6x-21$$

Add 6x to both sides.

$$13-4x+6x=-21$$

Combine -4x and 6x to get 2x.

$$13+2x=-21$$

Subtract 13 from both sides.

$$2x=-21-13$$

Subtract 13 from -21 to get -34.

$$2x=-34$$

Divide both sides by 2.

$$x=\frac{-34}{2}$$

Divide -34 by 2 to get -17.

$$x=-17$$