Solve 4(x+3)-4=8(2x+2)

$$4(x+3)-4=8(2x+2)$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+3.

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

Subtract 4 from 12 to get 8.

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

Use the distributive property to multiply 8 by 2x+2.

$$4x+8=16x+16$$

Subtract 16x from both sides.

$$4x+8-16x=16$$

Combine 4x and -16x to get -12x.

$$-12x+8=16$$

Subtract 8 from both sides.

$$-12x=16-8$$

Subtract 8 from 16 to get 8.

$$-12x=8$$

Divide both sides by -12.

$$x=\frac{8}{-12}$$

Reduce the fraction \frac{8}{-12} to lowest terms by extracting and canceling out 4.

$$x=-\frac{2}{3}$$