Solve for g g-10+7g=15+3g

$g - 10 + 7 g = 15 + 3 g$

Step 1

Add $g$ and $7 g$ .

$8 g - 10 = 15 + 3 g$

Step 2

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

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

$8 g - 10 - 3 g = 15$

Subtract $3 g$ from $8 g$ .

$5 g - 10 = 15$

Step 3

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

Add $10$ to both sides of the equation.

$5 g = 15 + 10$

Add $15$ and $10$ .

$5 g = 25$

Step 4

Divide each term in $5 g = 25$ by $5$ and simplify.

Divide each term in $5 g = 25$ by $5$ .

$\frac{5 g}{5} = \frac{25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 g}{5} = \frac{25}{5}$

Divide $g$ by $1$ .

$g = \frac{25}{5}$

Simplify the right side.

Divide $25$ by $5$ .

$g = 5$