Solve the Inequality for x 4x-2y<=8

$4 x - 2 y \leq 8$

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

$4 x \leq 8 + 2 y$

Divide each term in $4 x \leq 8 + 2 y$ by $4$ and simplify.

Divide each term in $4 x \leq 8 + 2 y$ by $4$ .

$\frac{4 x}{4} \leq \frac{8}{4} + \frac{2 y}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \leq \frac{8}{4} + \frac{2 y}{4}$

Divide $x$ by $1$ .

$x \leq \frac{8}{4} + \frac{2 y}{4}$

Simplify the right side.

Simplify each term.

Divide $8$ by $4$ .

$x \leq 2 + \frac{2 y}{4}$

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

Factor $2$ out of $2 y$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

$x \leq 2 + \frac{2 y}{2 \cdot 2}$

Cancel the common factor.

$x \leq 2 + \frac{2 y}{2 \cdot 2}$

Rewrite the expression.

$x \leq 2 + \frac{y}{2}$