Solve for g 2(1/3g-8)=g

$2 (\frac{1}{3} g - 8) = g$

Step 1

Simplify $2 (\frac{1}{3} g - 8)$ .

Start simplifying.

$0 + 0 + 2 (\frac{1}{3} g - 8) = g$

Simplify by adding zeros.

$2 (\frac{1}{3} g - 8) = g$

Combine $\frac{1}{3}$ and $g$ .

$2 (\frac{g}{3} - 8) = g$

Apply the distributive property.

$2 \frac{g}{3} + 2 \cdot - 8 = g$

Combine $2$ and $\frac{g}{3}$ .

$\frac{2 g}{3} + 2 \cdot - 8 = g$

Multiply $2$ by $- 8$ .

$\frac{2 g}{3} - 16 = g$

Step 2

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

Subtract $g$ from both sides of the equation.

$\frac{2 g}{3} - 16 - g = 0$

To write $- g$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2 g}{3} - g \cdot \frac{3}{3} - 16 = 0$

Combine $- g$ and $\frac{3}{3}$ .

$\frac{2 g}{3} + \frac{- g \cdot 3}{3} - 16 = 0$

Combine the numerators over the common denominator.

$\frac{2 g - g \cdot 3}{3} - 16 = 0$

Simplify each term.

Simplify the numerator.

Factor $g$ out of $2 g - g \cdot 3$ .

Factor $g$ out of $2 g$ .

$\frac{g \cdot 2 - g \cdot 3}{3} - 16 = 0$

Factor $g$ out of $- g \cdot 3$ .

$\frac{g \cdot 2 + g (- 1 \cdot 3)}{3} - 16 = 0$

Factor $g$ out of $g \cdot 2 + g (- 1 \cdot 3)$ .

$\frac{g (2 - 1 \cdot 3)}{3} - 16 = 0$

Multiply $- 1$ by $3$ .

$\frac{g (2 - 3)}{3} - 16 = 0$

Subtract $3$ from $2$ .

$\frac{g \cdot - 1}{3} - 16 = 0$

Move $- 1$ to the left of $g$ .

$\frac{- 1 \cdot g}{3} - 16 = 0$

Move the negative in front of the fraction.

$- \frac{g}{3} - 16 = 0$

Step 3

Add $16$ to both sides of the equation.

$- \frac{g}{3} = 16$

Step 4

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{g}{3}) = - 3 \cdot 16$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{g}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{g}{3}$ into the numerator.

$- 3 \frac{- g}{3} = - 3 \cdot 16$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- g}{3} = - 3 \cdot 16$

Cancel the common factor.

$3 \cdot - 1 \frac{- g}{3} = - 3 \cdot 16$

Rewrite the expression.

$- - g = - 3 \cdot 16$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 g = - 3 \cdot 16$

Multiply $g$ by $1$ .

$g = - 3 \cdot 16$

Simplify the right side.

Multiply $- 3$ by $16$ .

$g = - 48$

Solve for g 2(1/3g-8)=g

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