Solve for g 3g-10=4+8g-7g

$3 g - 10 = 4 + 8 g - 7 g$

Step 1

Since $g$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 + 8 g - 7 g = 3 g - 10$

Step 2

Subtract $7 g$ from $8 g$ .

$4 + g = 3 g - 10$

Step 3

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

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

$4 + g - 3 g = - 10$

Subtract $3 g$ from $g$ .

$4 - 2 g = - 10$

Step 4

Move all terms not containing $g$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- 2 g = - 10 - 4$

Subtract $4$ from $- 10$ .

$- 2 g = - 14$

Step 5

Divide each term in $- 2 g = - 14$ by $- 2$ and simplify.

Divide each term in $- 2 g = - 14$ by $- 2$ .

$\frac{- 2 g}{- 2} = \frac{- 14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 g}{- 2} = \frac{- 14}{- 2}$

Divide $g$ by $1$ .

$g = \frac{- 14}{- 2}$

Simplify the right side.

Divide $- 14$ by $- 2$ .

$g = 7$