Solve for x 6x-2y=6

$6 x - 2 y = 6$

Step 1

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

$6 x = 6 + 2 y$

Step 2

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

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

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

Simplify the right side.

Simplify each term.

Divide $6$ by $6$ .

$x = 1 + \frac{2 y}{6}$

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

Factor $2$ out of $2 y$ .

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

Cancel the common factors.

Factor $2$ out of $6$ .

$x = 1 + \frac{2 y}{2 \cdot 3}$

Cancel the common factor.

$x = 1 + \frac{2 y}{2 \cdot 3}$

Rewrite the expression.

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

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

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

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

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

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

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