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

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

Step 1

Combine $\frac{5}{12}$ and $x$ .

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

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.

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

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $4$ and $1$ .

$\frac{5 x}{12} = \frac{5}{4}$

Step 3

Multiply both sides of the equation by $\frac{12}{5}$ .

$\frac{12}{5} \cdot \frac{5 x}{12} = \frac{12}{5} \cdot \frac{5}{4}$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{12}{5} \cdot \frac{5 x}{12}$ .

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12}{5} \cdot \frac{5 x}{12} = \frac{12}{5} \cdot \frac{5}{4}$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{12}{5} \cdot \frac{5}{4}$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{12}{5} \cdot \frac{5}{4}$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{12}{5} \cdot \frac{5}{4}$

Rewrite the expression.

$x = \frac{12}{5} \cdot \frac{5}{4}$

Simplify the right side.

Simplify $\frac{12}{5} \cdot \frac{5}{4}$ .

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$x = \frac{4 (3)}{5} \cdot \frac{5}{4}$

Cancel the common factor.

$x = \frac{4 \cdot 3}{5} \cdot \frac{5}{4}$

Rewrite the expression.

$x = \frac{3}{5} \cdot 5$

Cancel the common factor of $5$ .

Cancel the common factor.

$x = \frac{3}{5} \cdot 5$

Rewrite the expression.

$x = 3$

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

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