Solve for x 7/12x-1/4=5

$\frac{7}{12} x - \frac{1}{4} = 5$

Step 1

Combine $\frac{7}{12}$ and $x$ .

$\frac{7 x}{12} - \frac{1}{4} = 5$

Step 2

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

Add $\frac{1}{4}$ to both sides of the equation.

$\frac{7 x}{12} = 5 + \frac{1}{4}$

To write $5$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7 x}{12} = 5 \cdot \frac{4}{4} + \frac{1}{4}$

Combine $5$ and $\frac{4}{4}$ .

$\frac{7 x}{12} = \frac{5 \cdot 4}{4} + \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{7 x}{12} = \frac{5 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply $5$ by $4$ .

$\frac{7 x}{12} = \frac{20 + 1}{4}$

Add $20$ and $1$ .

$\frac{7 x}{12} = \frac{21}{4}$

Step 3

Multiply both sides of the equation by $\frac{12}{7}$ .

$\frac{12}{7} \cdot \frac{7 x}{12} = \frac{12}{7} \cdot \frac{21}{4}$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{12}{7} \cdot \frac{7 x}{12}$ .

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12}{7} \cdot \frac{7 x}{12} = \frac{12}{7} \cdot \frac{21}{4}$

Rewrite the expression.

$\frac{1}{7} (7 x) = \frac{12}{7} \cdot \frac{21}{4}$

Cancel the common factor of $7$ .

Factor $7$ out of $7 x$ .

$\frac{1}{7} (7 (x)) = \frac{12}{7} \cdot \frac{21}{4}$

Cancel the common factor.

$\frac{1}{7} (7 x) = \frac{12}{7} \cdot \frac{21}{4}$

Rewrite the expression.

$x = \frac{12}{7} \cdot \frac{21}{4}$

Simplify the right side.

Simplify $\frac{12}{7} \cdot \frac{21}{4}$ .

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$x = \frac{4 (3)}{7} \cdot \frac{21}{4}$

Cancel the common factor.

$x = \frac{4 \cdot 3}{7} \cdot \frac{21}{4}$

Rewrite the expression.

$x = \frac{3}{7} \cdot 21$

Cancel the common factor of $7$ .

Factor $7$ out of $21$ .

$x = \frac{3}{7} \cdot (7 (3))$

Cancel the common factor.

$x = \frac{3}{7} \cdot (7 \cdot 3)$

Rewrite the expression.

$x = 3 \cdot 3$

Multiply $3$ by $3$ .

$x = 9$

Solve for x 7/12x-1/4=5

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