Solve for x 1/3x-5=12

$\frac{1}{3} x - 5 = 12$

Step 1

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

$\frac{x}{3} - 5 = 12$

Step 2

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

Add $5$ to both sides of the equation.

$\frac{x}{3} = 12 + 5$

Add $12$ and $5$ .

$\frac{x}{3} = 17$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{x}{3} = 3 \cdot 17$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{x}{3} = 3 \cdot 17$

Rewrite the expression.

$x = 3 \cdot 17$

Simplify the right side.

Multiply $3$ by $17$ .

$x = 51$