Solve -5(8-4x)+3xleq7(3x-6)

$$- 5 ( 8 - 4 x ) + 3 x \leq 7 ( 3 x - 6 )$$

Solve for x

$$x\leq -1$$

Solution Steps

Use the distributive property to multiply -5 by 8-4x.

$$-40+20x+3x\leq 7\left(3x-6\right)$$

Combine 20x and 3x to get 23x.

$$-40+23x\leq 7\left(3x-6\right)$$

Use the distributive property to multiply 7 by 3x-6.

$$-40+23x\leq 21x-42$$

Subtract 21x from both sides.

$$-40+23x-21x\leq -42$$

Combine 23x and -21x to get 2x.

$$-40+2x\leq -42$$

Add 40 to both sides.

$$2x\leq -42+40$$

Add -42 and 40 to get -2.

$$2x\leq -2$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x\leq \frac{-2}{2}$$

Divide -2 by 2 to get -1.

$$x\leq -1$$