Solve h-2/5=h+6/9

$$\frac { h - 2 } { 5 } = \frac { h + 6 } { 9 }$$

Solve for h

$$h=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9.

$$9\left(h-2\right)=5\left(h+6\right)$$

Use the distributive property to multiply 9 by h-2.

$$9h-18=5\left(h+6\right)$$

Use the distributive property to multiply 5 by h+6.

$$9h-18=5h+30$$

Subtract 5h from both sides.

$$9h-18-5h=30$$

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

$$4h-18=30$$

Add 18 to both sides.

$$4h=30+18$$

Add 30 and 18 to get 48.

$$4h=48$$

Divide both sides by 4.

$$h=\frac{48}{4}$$

Divide 48 by 4 to get 12.

$$h=12$$