Answer
$x = \frac{5}{2}g - 1$
Work Step by Step
Use distributive property to eliminate the parentheses:
$\frac{2}{5}x + \frac{2}{5} = g$
Subtract $\frac{2}{5}$ from both sides of the equation:
$\frac{2}{5}x = g - \frac{2}{5}$
Divide both sides of the equation by $\frac{2}{5}$. This means that we will multiply by its reciprocal, which is $\frac{5}{2}$:
$x = \frac{5}{2}g - \left(\frac{2}{5})(\frac{5}{2}\right)$
Multiply fractions to simplify:
$x = \frac{5}{2}g - \frac{10}{10}$
Simplify the fraction:
$x = \frac{5}{2}g - 1$
