How do you solve 5/9g + 8 = 1/6g + 1?

Apr 25, 2018

$g = - 18$

Explanation:

If you subtract 8 from both sides:

$\frac{5}{9} g = \frac{1}{6} g + 1 - 8$

$\frac{5}{9} g = \frac{1}{6} g - 7$

Subtract $\frac{1}{6} g$ from both sides

$\frac{5}{9} g - \frac{1}{6} g = - 7$

Change the fractions to equivalent ones so that we can subtract them

$\frac{10}{18} g - \frac{3}{18} g = - 7$

Subtract them

$\frac{7}{18} g = - 7$

Multiply both sides by 18

$7 g = - 7 \times 18$

Divide both sides by 7

$g = \frac{- 7 \times 18}{7}$

$g = - 18$