Solve 4(x+3)-2leq9x-15

$$4 ( x + 3 ) - 2 \leq 9 x - 15$$

Solve for x

$$x\geq 5$$

Solution Steps

Use the distributive property to multiply 4 by x+3.

$$4x+12-2\leq 9x-15$$

Subtract 2 from 12 to get 10.

$$4x+10\leq 9x-15$$

Subtract 9x from both sides.

$$4x+10-9x\leq -15$$

Combine 4x and -9x to get -5x.

$$-5x+10\leq -15$$

Subtract 10 from both sides.

$$-5x\leq -15-10$$

Subtract 10 from -15 to get -25.

$$-5x\leq -25$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x\geq \frac{-25}{-5}$$

Divide -25 by -5 to get 5.

$$x\geq 5$$