Solve 1200*2x+1600x+2000(80-x-2x)leq134000

$$1200 \times 2x+1600x+2000(80-x-2x) \leq 134000$$

Solve for x

$$x\geq 13$$

Solution Steps

Multiply 1200 and 2 to get 2400.

$$2400x+1600x+2000\left(80-x-2x\right)\leq 134000$$

Combine 2400x and 1600x to get 4000x.

$$4000x+2000\left(80-x-2x\right)\leq 134000$$

Combine -x and -2x to get -3x.

$$4000x+2000\left(80-3x\right)\leq 134000$$

Use the distributive property to multiply 2000 by 80-3x.

$$4000x+160000-6000x\leq 134000$$

Combine 4000x and -6000x to get -2000x.

$$-2000x+160000\leq 134000$$

Subtract 160000 from both sides.

$$-2000x\leq 134000-160000$$

Subtract 160000 from 134000 to get -26000.

$$-2000x\leq -26000$$

Divide both sides by -2000. Since -2000 is negative, the inequality direction is changed.

$$x\geq \frac{-26000}{-2000}$$

Divide -26000 by -2000 to get 13.

$$x\geq 13$$