Solve -2(x+2)+6=8(x+4)+8

$$-2(x+2)+6=8(x+4)+8$$

Solve for x

$$x = -\frac{19}{5} = -3\frac{4}{5} = -3.8$$

Steps for Solving Linear Equation

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

$$-2x-4+6=8\left(x+4\right)+8$$

Add -4 and 6 to get 2.

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

Use the distributive property to multiply 8 by x+4.

$$-2x+2=8x+32+8$$

Add 32 and 8 to get 40.

$$-2x+2=8x+40$$

Subtract 8x from both sides.

$$-2x+2-8x=40$$

Combine -2x and -8x to get -10x.

$$-10x+2=40$$

Subtract 2 from both sides.

$$-10x=40-2$$

Subtract 2 from 40 to get 38.

$$-10x=38$$

Divide both sides by -10.

$$x=\frac{38}{-10}$$

Reduce the fraction \frac{38}{-10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{19}{5}$$