Solve 5(3h-9)-12=12-7(h-9)

$$5 ( 3 h - 9 ) - 12 = 12 - 7 ( h - 9 )$$

Solve for h

$$h=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3h-9.

$$15h-45-12=12-7\left(h-9\right)$$

Subtract 12 from -45 to get -57.

$$15h-57=12-7\left(h-9\right)$$

Use the distributive property to multiply -7 by h-9.

$$15h-57=12-7h+63$$

Add 12 and 63 to get 75.

$$15h-57=75-7h$$

Add 7h to both sides.

$$15h-57+7h=75$$

Combine 15h and 7h to get 22h.

$$22h-57=75$$

Add 57 to both sides.

$$22h=75+57$$

Add 75 and 57 to get 132.

$$22h=132$$

Divide both sides by 22.

$$h=\frac{132}{22}$$

Divide 132 by 22 to get 6.

$$h=6$$