Solve -3[2x-4]+16=2(-x+2)+20

$$- 3 [ 2 x - 4 ] + 16 = 2 ( - x + 2 ) + 20$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x-4.

$$-6x+12+16=2\left(-x+2\right)+20$$

Add 12 and 16 to get 28.

$$-6x+28=2\left(-x+2\right)+20$$

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

$$-6x+28=2\left(-x\right)+4+20$$

Add 4 and 20 to get 24.

$$-6x+28=2\left(-x\right)+24$$

Subtract 2\left(-x\right) from both sides.

$$-6x+28-2\left(-x\right)=24$$

Multiply -1 and 2 to get -2.

$$-6x+28-2\left(-1\right)x=24$$

Multiply -2 and -1 to get 2.

$$-6x+28+2x=24$$

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

$$-4x+28=24$$

Subtract 28 from both sides.

$$-4x=24-28$$

Subtract 28 from 24 to get -4.

$$-4x=-4$$

Divide both sides by -4.

$$x=\frac{-4}{-4}$$

Divide -4 by -4 to get 1.

$$x=1$$