Solve for x 4x+2y=12

$4 x + 2 y = 12$

Step 1

Subtract $2 y$ from 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 $1$ .

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

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

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

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 $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Move the negative in front of the fraction.

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

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

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

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

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