Solve 13x-3x+2-5xgeq-10+2x+6

$$13 x - 3 x + 2 - 5 x \geq - 10 + 2 x + 6$$

Solve for x

$$x\geq -2$$

Solution Steps

Combine 13x and -3x to get 10x.

$$10x+2-5x\geq -10+2x+6$$

Combine 10x and -5x to get 5x.

$$5x+2\geq -10+2x+6$$

Add -10 and 6 to get -4.

$$5x+2\geq -4+2x$$

Subtract 2x from both sides.

$$5x+2-2x\geq -4$$

Combine 5x and -2x to get 3x.

$$3x+2\geq -4$$

Subtract 2 from both sides.

$$3x\geq -4-2$$

Subtract 2 from -4 to get -6.

$$3x\geq -6$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x\geq \frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$x\geq -2$$