Solve -3x+8+2xleqx-2+5x

$$- 3 x + 8 + 2 x \leq x - 2 + 5 x$$

Solve for x

$$x\geq \frac{10}{7}$$

Solution Steps

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

$$-x+8\leq x-2+5x$$

Combine x and 5x to get 6x.

$$-x+8\leq 6x-2$$

Subtract 6x from both sides.

$$-x+8-6x\leq -2$$

Combine -x and -6x to get -7x.

$$-7x+8\leq -2$$

Subtract 8 from both sides.

$$-7x\leq -2-8$$

Subtract 8 from -2 to get -10.

$$-7x\leq -10$$

Divide both sides by -7. Since -7 is negative, the inequality direction is changed.

$$x\geq \frac{-10}{-7}$$

Fraction \frac{-10}{-7} can be simplified to \frac{10}{7} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{10}{7}$$