Solve for x x/2-y/3=5/6

$\frac{x}{2} - \frac{y}{3} = \frac{5}{6}$

Step 1

Add $\frac{y}{3}$ to both sides of the equation.

$\frac{x}{2} = \frac{5}{6} + \frac{y}{3}$

Step 2

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (\frac{5}{6} + \frac{y}{3})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 (\frac{5}{6} + \frac{y}{3})$

Rewrite the expression.

$x = 2 (\frac{5}{6} + \frac{y}{3})$

$x = 2 (\frac{5}{6} + \frac{y}{3})$

$x = 2 (\frac{5}{6} + \frac{y}{3})$

Simplify the right side.

Simplify $2 (\frac{5}{6} + \frac{y}{3})$ .

Apply the distributive property.

$x = 2 (\frac{5}{6}) + 2 \frac{y}{3}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$x = 2 \frac{5}{2 (3)} + 2 \frac{y}{3}$

Cancel the common factor.

$x = 2 \frac{5}{2 \cdot 3} + 2 \frac{y}{3}$

Rewrite the expression.

$x = \frac{5}{3} + 2 \frac{y}{3}$

$x = \frac{5}{3} + 2 \frac{y}{3}$

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

$x = \frac{5}{3} + \frac{2 y}{3}$

$x = \frac{5}{3} + \frac{2 y}{3}$

$x = \frac{5}{3} + \frac{2 y}{3}$

$x = \frac{5}{3} + \frac{2 y}{3}$

Step 4

Reorder $\frac{5}{3}$ and $\frac{2 y}{3}$ .

$x = \frac{2 y}{3} + \frac{5}{3}$

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