Solve 4(x-2)=4x+2-2(-2x-4)

$$4(x-2)=4x+2-2(-2x-4)$$

Solve for x

$$x = -\frac{9}{2} = -4\frac{1}{2} = -4.5$$

Steps for Solving Linear Equation

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

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

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

$$4x-8=4x+2+4x+8$$

Combine 4x and 4x to get 8x.

$$4x-8=8x+2+8$$

Add 2 and 8 to get 10.

$$4x-8=8x+10$$

Subtract 8x from both sides.

$$4x-8-8x=10$$

Combine 4x and -8x to get -4x.

$$-4x-8=10$$

Add 8 to both sides.

$$-4x=10+8$$

Add 10 and 8 to get 18.

$$-4x=18$$

Divide both sides by -4.

$$x=\frac{18}{-4}$$

Reduce the fraction \frac{18}{-4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{9}{2}$$