Solve for x 2x-6y=12

$2 x - 6 y = 12$

Step 1

Add $6 y$ to 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 $1$ .

$x = 6 + 3 y$

$x = 6 + 3 y$

$x = 6 + 3 y$

$x = 6 + 3 y$

$x = 6 + 3 y$

$x = 6 + 3 y$

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