Solve for x 6=1/3x+5

$6 = \frac{1}{3} x + 5$

Step 1

Rewrite the equation as $\frac{1}{3} x + 5 = 6$ .

$\frac{1}{3} x + 5 = 6$

Step 2

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

$\frac{x}{3} + 5 = 6$

Step 3

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

Subtract $5$ from both sides of the equation.

$\frac{x}{3} = 6 - 5$

Subtract $5$ from $6$ .

$\frac{x}{3} = 1$

Step 4

Multiply both sides of the equation by $3$ .

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

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 3 \cdot 1$

Simplify the right side.

Multiply $3$ by $1$ .

$x = 3$