Solve 2x-1geq3x-5

$$2 x - 1 \geq 3 x - 5$$

Solve for x

$$x\leq 4$$

Solution Steps

Subtract 3x from both sides.

$$2x-1-3x\geq -5$$

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

$$-x-1\geq -5$$

Add 1 to both sides.

$$-x\geq -5+1$$

Add -5 and 1 to get -4.

$$-x\geq -4$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq \frac{-4}{-1}$$

Fraction \frac{-4}{-1} can be simplified to 4 by removing the negative sign from both the numerator and the denominator.

$$x\leq 4$$