Solve for x -4x-2y=-12

$- 4 x - 2 y = - 12$

Step 1

Add $2 y$ to both sides of the equation.

$- 4 x = - 12 + 2 y$

Step 2

Divide each term in $- 4 x = - 12 + 2 y$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 12 + 2 y$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 12}{- 4} + \frac{2 y}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 12}{- 4} + \frac{2 y}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 12}{- 4} + \frac{2 y}{- 4}$

Simplify the right side.

Simplify each term.

Divide $- 12$ by $- 4$ .

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

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2 y$ .

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

Cancel the common factors.

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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