Solve 3+2xgeq3x-5

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

Solve for x

$$x\leq 8$$

Solution Steps

Subtract 3x from both sides.

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

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

$$3-x\geq -5$$

Subtract 3 from both sides.

$$-x\geq -5-3$$

Subtract 3 from -5 to get -8.

$$-x\geq -8$$

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

$$x\leq \frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$x\leq 8$$