Solve for x 2x+6y=12

$2 x + 6 y = 12$

Step 1

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

$2 x = 12 - 6 y$

Step 2

Divide each term in $2 x = 12 - 6 y$ by $2$ and simplify.

Divide each term in $2 x = 12 - 6 y$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

Simplify the right side.

Simplify each term.

Divide $12$ by $2$ .

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

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 y$ .

$x = 6 + \frac{2 (- 3 y)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$x = 6 + \frac{2 (- 3 y)}{2 (1)}$

Cancel the common factor.

$x = 6 + \frac{2 (- 3 y)}{2 \cdot 1}$

Rewrite the expression.

$x = 6 + \frac{- 3 y}{1}$

Divide $- 3 y$ by $1$ .

$x = 6 - 3 y$

$x = 6 - 3 y$

$x = 6 - 3 y$

$x = 6 - 3 y$

$x = 6 - 3 y$

$x = 6 - 3 y$

Related Questions