Solve for x 8-1/3x=16

$8 - \frac{1}{3} x = 16$

Step 1

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

$8 - \frac{x}{3} = 16$

Step 2

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

Subtract $8$ from both sides of the equation.

$- \frac{x}{3} = 16 - 8$

Subtract $8$ from $16$ .

$- \frac{x}{3} = 8$

Step 3

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

$- 3 (- \frac{x}{3}) = - 3 \cdot 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $3$ .

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

$- 3 \frac{- x}{3} = - 3 \cdot 8$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- x}{3} = - 3 \cdot 8$

Cancel the common factor.

$3 \cdot - 1 \frac{- x}{3} = - 3 \cdot 8$

Rewrite the expression.

$- - x = - 3 \cdot 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 3 \cdot 8$

Multiply $x$ by $1$ .

$x = - 3 \cdot 8$

Simplify the right side.

Multiply $- 3$ by $8$ .

$x = - 24$