Solve for x 5x+3y=12

$5 x + 3 y = 12$

Step 1

Subtract $3 y$ from both sides of the equation.

$5 x = 12 - 3 y$

Step 2

Divide each term in $5 x = 12 - 3 y$ by $5$ and simplify.

Divide each term in $5 x = 12 - 3 y$ by $5$ .

$\frac{5 x}{5} = \frac{12}{5} + \frac{- 3 y}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{12}{5} + \frac{- 3 y}{5}$

Divide $x$ by $1$ .

$x = \frac{12}{5} + \frac{- 3 y}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{12}{5} - \frac{3 y}{5}$