Solve 2x-6+3xgeq8x+21

$$2x-6+3x \geq 8x+21$$

Solve for x

$$x\leq -9$$

Solution Steps

Combine 2x and 3x to get 5x.

$$5x-6\geq 8x+21$$

Subtract 8x from both sides.

$$5x-6-8x\geq 21$$

Combine 5x and -8x to get -3x.

$$-3x-6\geq 21$$

Add 6 to both sides.

$$-3x\geq 21+6$$

Add 21 and 6 to get 27.

$$-3x\geq 27$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\leq \frac{27}{-3}$$

Divide 27 by -3 to get -9.

$$x\leq -9$$