Solve for g -0.5g+13=3g

$- 0.5 g + 13 = 3 g$

Move all terms containing $g$ to the left side of the equation.

Subtract $3 g$ from both sides of the equation.

$- 0.5 g + 13 - 3 g = 0$

Subtract $3 g$ from $- 0.5 g$ .

$- 3.5 g + 13 = 0$

Subtract $13$ from both sides of the equation.

$- 3.5 g = - 13$

Divide each term in $- 3.5 g = - 13$ by $- 3.5$ and simplify.

Divide each term in $- 3.5 g = - 13$ by $- 3.5$ .

$\frac{- 3.5 g}{- 3.5} = \frac{- 13}{- 3.5}$

Simplify the left side.

Cancel the common factor of $- 3.5$ .

Cancel the common factor.

$\frac{- 3.5 g}{- 3.5} = \frac{- 13}{- 3.5}$

Divide $g$ by $1$ .

$g = \frac{- 13}{- 3.5}$

Simplify the right side.

Divide $- 13$ by $- 3.5$ .

$g = 3.\overline{714285}$