Solve -4/5x+2leq5-6/5x

$$- \frac{ 4 }{ 5 } x+2 \leq 5- \frac{ 6 }{ 5 } x$$

Solve for x

$$x\leq \frac{15}{2}$$

Solution Steps

Add \frac{6}{5}x to both sides.

$$-\frac{4}{5}x+2+\frac{6}{5}x\leq 5$$

Combine -\frac{4}{5}x and \frac{6}{5}x to get \frac{2}{5}x.

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

Subtract 2 from both sides.

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

Subtract 2 from 5 to get 3.

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

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}. Since \frac{2}{5} is positive, the inequality direction remains the same.

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

Express 3\times \frac{5}{2} as a single fraction.

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

Multiply 3 and 5 to get 15.

$$x\leq \frac{15}{2}$$