Solve 4(x-3)-5xgeq-15

$$4 ( x - 3 ) - 5 x \geq - 15$$

Solve for x

$$x\leq 3$$

Solution Steps

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

$$4x-12-5x\geq -15$$

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

$$-x-12\geq -15$$

Add 12 to both sides.

$$-x\geq -15+12$$

Add -15 and 12 to get -3.

$$-x\geq -3$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq \frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$x\leq 3$$