Solve -6(7-x)-8=8(x+5)-12

$$-6(7-x)-8=8(x+5)-12$$

Solve for x

$$x=-39$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 7-x.

$$-42+6x-8=8\left(x+5\right)-12$$

Subtract 8 from -42 to get -50.

$$-50+6x=8\left(x+5\right)-12$$

Use the distributive property to multiply 8 by x+5.

$$-50+6x=8x+40-12$$

Subtract 12 from 40 to get 28.

$$-50+6x=8x+28$$

Subtract 8x from both sides.

$$-50+6x-8x=28$$

Combine 6x and -8x to get -2x.

$$-50-2x=28$$

Add 50 to both sides.

$$-2x=28+50$$

Add 28 and 50 to get 78.

$$-2x=78$$

Divide both sides by -2.

$$x=\frac{78}{-2}$$

Divide 78 by -2 to get -39.

$$x=-39$$