Solve 2x+5/3leq4x-5

$$\frac{ 2x+5 }{ 3 } \leq 4x-5$$

Solve for x

$$x\geq 2$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$$2x+5\leq 12x-15$$

Subtract 12x from both sides.

$$2x+5-12x\leq -15$$

Combine 2x and -12x to get -10x.

$$-10x+5\leq -15$$

Subtract 5 from both sides.

$$-10x\leq -15-5$$

Subtract 5 from -15 to get -20.

$$-10x\leq -20$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$x\geq \frac{-20}{-10}$$

Divide -20 by -10 to get 2.

$$x\geq 2$$