# How do you solve ((g + 4) / (g - 2)) = ((g - 5) / (g - 8))?

Mar 2, 2016

g = 14

#### Explanation:

Two equal fractions. Eliminate fractions by $\textcolor{b l u e}{\text{ cross multiplying }}$

hence: (g + 4 )(g - 8 ) = (g - 5 )(g - 2 )

distribute brackets

$\Rightarrow {g}^{2} - 4 g - 32 = {g}^{2} - 7 g + 10$

collect like terms , variables on left , numbers on right.

${g}^{2} - {g}^{2} - 4 g + 7 g = 10 + 32$

hence : 3g = 42 → g = 14