Solve 1.2x+0.5(72-2x)leq40

$$1.2 x + 0.5 ( 72 - 2 x ) \leq 40$$

Solve for x

$$x\leq 20$$

Solution Steps

Use the distributive property to multiply 0.5 by 72-2x.

$$1.2x+36-x\leq 40$$

Combine 1.2x and -x to get 0.2x.

$$0.2x+36\leq 40$$

Subtract 36 from both sides.

$$0.2x\leq 40-36$$

Subtract 36 from 40 to get 4.

$$0.2x\leq 4$$

Divide both sides by 0.2. Since 0.2 is positive, the inequality direction remains the same.

$$x\leq \frac{4}{0.2}$$

Expand \frac{4}{0.2} by multiplying both numerator and the denominator by 10.

$$x\leq \frac{40}{2}$$

Divide 40 by 2 to get 20.

$$x\leq 20$$