Solve for x 4x-2y=6

$4 x - 2 y = 6$

Step 1

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

$4 x = 6 + 2 y$

Step 2

Divide each term in $4 x = 6 + 2 y$ by $4$ and simplify.

Divide each term in $4 x = 6 + 2 y$ by $4$ .

$\frac{4 x}{4} = \frac{6}{4} + \frac{2 y}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{6}{4} + \frac{2 y}{4}$

Divide $x$ by $1$ .

$x = \frac{6}{4} + \frac{2 y}{4}$

$x = \frac{6}{4} + \frac{2 y}{4}$

$x = \frac{6}{4} + \frac{2 y}{4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $4$ .

Factor $2$ out of $6$ .

$x = \frac{2 (3)}{4} + \frac{2 y}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 3}{2 \cdot 2} + \frac{2 y}{4}$

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 \cdot 2} + \frac{2 y}{4}$

Rewrite the expression.

$x = \frac{3}{2} + \frac{2 y}{4}$

$x = \frac{3}{2} + \frac{2 y}{4}$

$x = \frac{3}{2} + \frac{2 y}{4}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 y$ .

$x = \frac{3}{2} + \frac{2 (y)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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

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