Solve 5(h+12)=9(h-14)

$$5 ( h + 12 ) = 9 ( h - 14 )$$

Solve for h

$$h = \frac{93}{2} = 46\frac{1}{2} = 46.5$$

Steps for Solving Linear Equation

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

$$5h+60=9\left(h-14\right)$$

Use the distributive property to multiply 9 by h-14.

$$5h+60=9h-126$$

Subtract 9h from both sides.

$$5h+60-9h=-126$$

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

$$-4h+60=-126$$

Subtract 60 from both sides.

$$-4h=-126-60$$

Subtract 60 from -126 to get -186.

$$-4h=-186$$

Divide both sides by -4.

$$h=\frac{-186}{-4}$$

Reduce the fraction \frac{-186}{-4} to lowest terms by extracting and canceling out -2.

$$h=\frac{93}{2}$$