Solve for x 12x+6y=24

$12 x + 6 y = 24$

Step 1

Subtract $6 y$ from both sides of the equation.

$12 x = 24 - 6 y$

Step 2

Divide each term in $12 x = 24 - 6 y$ by $12$ and simplify.

Divide each term in $12 x = 24 - 6 y$ by $12$ .

$\frac{12 x}{12} = \frac{24}{12} + \frac{- 6 y}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{24}{12} + \frac{- 6 y}{12}$

Divide $x$ by $1$ .

$x = \frac{24}{12} + \frac{- 6 y}{12}$

Simplify the right side.

Simplify each term.

Divide $24$ by $12$ .

$x = 2 + \frac{- 6 y}{12}$

Cancel the common factor of $- 6$ and $12$ .

Factor $6$ out of $- 6 y$ .

$x = 2 + \frac{6 (- y)}{12}$

Cancel the common factors.

Factor $6$ out of $12$ .

$x = 2 + \frac{6 (- y)}{6 (2)}$

Cancel the common factor.

$x = 2 + \frac{6 (- y)}{6 \cdot 2}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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