Solve 2x+11geq6+5x

$$2x+11 \geq 6+5x$$

Solve for x

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

Solution Steps

Subtract 5x from both sides.

$$2x+11-5x\geq 6$$

Combine 2x and -5x to get -3x.

$$-3x+11\geq 6$$

Subtract 11 from both sides.

$$-3x\geq 6-11$$

Subtract 11 from 6 to get -5.

$$-3x\geq -5$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

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

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

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