Solve for x x/5=x/6+1

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

Multiply both sides of the equation by $5$ .

$x = \frac{x}{6} \cdot (5) + 1 \cdot (5)$

Simplify each term.

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Combine $\frac{x}{6}$ and $5$ .

$x = \frac{x \cdot 5}{6} + 1 \cdot (5)$

Move $5$ to the left of $x$ .

$x = \frac{5 \cdot x}{6} + 1 \cdot (5)$

Multiply $5$ by $1$ .

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

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

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Subtract $\frac{5 x}{6}$ from both sides of the equation.

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

To write $x$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

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

Combine $x$ and $\frac{6}{6}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Move $6$ to the left of $x$ .

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

Subtract $5 x$ from $6 x$ .

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

Multiply both sides of the equation by $6$ .

$6 \cdot \frac{x}{6} = 6 \cdot 5$

Simplify both sides of the equation.

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Cancel the common factor of $6$ .

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Cancel the common factor.

$6 \cdot \frac{x}{6} = 6 \cdot 5$

Rewrite the expression.

$x = 6 \cdot 5$

Multiply $6$ by $5$ .

$x = 30$

Solve for x x/5=x/6+1

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