Solve for x 4x-6y=12

$4 x - 6 y = 12$

Step 1

Add $6 y$ to both sides of the equation.

$4 x = 12 + 6 y$

Step 2

Divide each term in $4 x = 12 + 6 y$ by $4$ and simplify.

Divide each term in $4 x = 12 + 6 y$ by $4$ .

$\frac{4 x}{4} = \frac{12}{4} + \frac{6 y}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{12}{4} + \frac{6 y}{4}$

Divide $x$ by $1$ .

$x = \frac{12}{4} + \frac{6 y}{4}$

$x = \frac{12}{4} + \frac{6 y}{4}$

$x = \frac{12}{4} + \frac{6 y}{4}$

Simplify the right side.

Simplify each term.

Divide $12$ by $4$ .

$x = 3 + \frac{6 y}{4}$

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

Factor $2$ out of $6 y$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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

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