Solve x-5/2leq3/2-x

$$x- \frac{ 5 }{ 2 } \leq \frac{ 3 }{ 2 } -x$$

Solve for x

$$x\leq 2$$

Solution Steps

Add x to both sides.

$$x-\frac{5}{2}+x\leq \frac{3}{2}$$

Combine x and x to get 2x.

$$2x-\frac{5}{2}\leq \frac{3}{2}$$

Add \frac{5}{2} to both sides.

$$2x\leq \frac{3}{2}+\frac{5}{2}$$

Since \frac{3}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$2x\leq \frac{3+5}{2}$$

Add 3 and 5 to get 8.

$$2x\leq \frac{8}{2}$$

Divide 8 by 2 to get 4.

$$2x\leq 4$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

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

Divide 4 by 2 to get 2.

$$x\leq 2$$