Solve 086=frac{27675-h_{2}}{27675-18384}

$$086 = \frac { 27675 - h _ { 2 } } { 27675 - 18384 }$$

Solve for h_2

$$h_{2}=27675$$

Steps for Solving Linear Equation

Multiply 0 and 86 to get 0.

$$0=\frac{27675-h_{2}}{27675-18384}$$

Subtract 18384 from 27675 to get 9291.

$$0=\frac{27675-h_{2}}{9291}$$

Divide each term of 27675-h_{2} by 9291 to get \frac{9225}{3097}-\frac{1}{9291}h_{2}.

$$0=\frac{9225}{3097}-\frac{1}{9291}h_{2}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{9225}{3097}-\frac{1}{9291}h_{2}=0$$

Subtract \frac{9225}{3097} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{9291}h_{2}=-\frac{9225}{3097}$$

Multiply both sides by -9291, the reciprocal of -\frac{1}{9291}.

$$h_{2}=-\frac{9225}{3097}\left(-9291\right)$$

Express -\frac{9225}{3097}\left(-9291\right) as a single fraction.

$$h_{2}=\frac{-9225\left(-9291\right)}{3097}$$

Multiply -9225 and -9291 to get 85709475.

$$h_{2}=\frac{85709475}{3097}$$

Divide 85709475 by 3097 to get 27675.

$$h_{2}=27675$$