Solve -5(h+12)-(4h-2)=h-8

$$- 5 ( h + 12 ) - ( 4 h - 2 ) = h - 8$$

Solve for h

$$h=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by h+12.

$$-5h-60-\left(4h-2\right)=h-8$$

To find the opposite of 4h-2, find the opposite of each term.

$$-5h-60-4h-\left(-2\right)=h-8$$

The opposite of -2 is 2.

$$-5h-60-4h+2=h-8$$

Combine -5h and -4h to get -9h.

$$-9h-60+2=h-8$$

Add -60 and 2 to get -58.

$$-9h-58=h-8$$

Subtract h from both sides.

$$-9h-58-h=-8$$

Combine -9h and -h to get -10h.

$$-10h-58=-8$$

Add 58 to both sides.

$$-10h=-8+58$$

Add -8 and 58 to get 50.

$$-10h=50$$

Divide both sides by -10.

$$h=\frac{50}{-10}$$

Divide 50 by -10 to get -5.

$$h=-5$$