Solve for x 4x-3y=6

$4 x - 3 y = 6$

Step 1

Add $3 y$ to both sides of the equation.

$4 x = 6 + 3 y$

Step 2

Divide each term in $4 x = 6 + 3 y$ by $4$ and simplify.

Divide each term in $4 x = 6 + 3 y$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

Simplify the right side.

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

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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