Solve 2x+1geq3x-5

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

Solve for x

$$x\leq 6$$

Solution Steps

Subtract 3x from both sides.

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

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

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

Subtract 1 from both sides.

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

Subtract 1 from -5 to get -6.

$$-x\geq -6$$

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

$$x\leq \frac{-6}{-1}$$

Fraction \frac{-6}{-1} can be simplified to 6 by removing the negative sign from both the numerator and the denominator.

$$x\leq 6$$