Solve h+8/h+10=h+6/h+4

$$\frac { h + 8 } { h + 10 } = \frac { h + 6 } { h + 4 }$$

Solve for h

$$h=-7$$

Steps for Solving Linear Equation

Variable h cannot be equal to any of the values -10,-4 since division by zero is not defined. Multiply both sides of the equation by \left(h+4\right)\left(h+10\right), the least common multiple of h+10,h+4.

$$\left(h+4\right)\left(h+8\right)=\left(h+10\right)\left(h+6\right)$$

Use the distributive property to multiply h+4 by h+8 and combine like terms.

$$h^{2}+12h+32=\left(h+10\right)\left(h+6\right)$$

Use the distributive property to multiply h+10 by h+6 and combine like terms.

$$h^{2}+12h+32=h^{2}+16h+60$$

Subtract h^{2} from both sides.

$$h^{2}+12h+32-h^{2}=16h+60$$

Combine h^{2} and -h^{2} to get 0.

$$12h+32=16h+60$$

Subtract 16h from both sides.

$$12h+32-16h=60$$

Combine 12h and -16h to get -4h.

$$-4h+32=60$$

Subtract 32 from both sides.

$$-4h=60-32$$

Subtract 32 from 60 to get 28.

$$-4h=28$$

Divide both sides by -4.

$$h=\frac{28}{-4}$$

Divide 28 by -4 to get -7.

$$h=-7$$