Solve x-2geq2(x-5)

$$x - 2 \geq 2 ( x - 5 )$$

Solve for x

$$x\leq 8$$

Solution Steps

Use the distributive property to multiply 2 by x-5.

$$x-2\geq 2x-10$$

Subtract 2x from both sides.

$$x-2-2x\geq -10$$

Combine x and -2x to get -x.

$$-x-2\geq -10$$

Add 2 to both sides.

$$-x\geq -10+2$$

Add -10 and 2 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.

$$x\leq 8$$