Solve for x 5=15x-12y

$5 = 15 x - 12 y$

Step 1

Rewrite the equation as $15 x - 12 y = 5$ .

$15 x - 12 y = 5$

Step 2

Add $12 y$ to both sides of the equation.

$15 x = 5 + 12 y$

Step 3

Divide each term in $15 x = 5 + 12 y$ by $15$ and simplify.

Divide each term in $15 x = 5 + 12 y$ by $15$ .

$\frac{15 x}{15} = \frac{5}{15} + \frac{12 y}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{5}{15} + \frac{12 y}{15}$

Divide $x$ by $1$ .

$x = \frac{5}{15} + \frac{12 y}{15}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $5$ and $15$ .

Factor $5$ out of $5$ .

$x = \frac{5 (1)}{15} + \frac{12 y}{15}$

Cancel the common factors.

Factor $5$ out of $15$ .

$x = \frac{5 \cdot 1}{5 \cdot 3} + \frac{12 y}{15}$

Cancel the common factor.

$x = \frac{5 \cdot 1}{5 \cdot 3} + \frac{12 y}{15}$

Rewrite the expression.

$x = \frac{1}{3} + \frac{12 y}{15}$

Cancel the common factor of $12$ and $15$ .

Factor $3$ out of $12 y$ .

$x = \frac{1}{3} + \frac{3 (4 y)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$x = \frac{1}{3} + \frac{3 (4 y)}{3 (5)}$

Cancel the common factor.

$x = \frac{1}{3} + \frac{3 (4 y)}{3 \cdot 5}$

Rewrite the expression.

$x = \frac{1}{3} + \frac{4 y}{5}$