Solve for x -3x-4y=2

$- 3 x - 4 y = 2$

Step 1

Add $4 y$ to both sides of the equation.

$- 3 x = 2 + 4 y$

Step 2

Divide each term in $- 3 x = 2 + 4 y$ by $- 3$ and simplify.

Divide each term in $- 3 x = 2 + 4 y$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{2}{- 3} + \frac{4 y}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{2}{- 3} + \frac{4 y}{- 3}$

Divide $x$ by $1$ .

$x = \frac{2}{- 3} + \frac{4 y}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{2}{3} + \frac{4 y}{- 3}$

Move the negative in front of the fraction.

$x = - \frac{2}{3} - \frac{4 y}{3}$