Solve 80(15)+120(x)+500(2/3(15))-35000=0

$$80(15)+120(x)+500( \frac{ 2 }{ 3 } (15))-35000=0$$

Solve for x

$$x=240$$

Steps for Solving Linear Equation

Multiply 80 and 15 to get 1200.

$$1200+120x+500\times \frac{2}{3}\times 15-35000=0$$

Express 500\times \frac{2}{3} as a single fraction.

$$1200+120x+\frac{500\times 2}{3}\times 15-35000=0$$

Multiply 500 and 2 to get 1000.

$$1200+120x+\frac{1000}{3}\times 15-35000=0$$

Express \frac{1000}{3}\times 15 as a single fraction.

$$1200+120x+\frac{1000\times 15}{3}-35000=0$$

Multiply 1000 and 15 to get 15000.

$$1200+120x+\frac{15000}{3}-35000=0$$

Divide 15000 by 3 to get 5000.

$$1200+120x+5000-35000=0$$

Add 1200 and 5000 to get 6200.

$$6200+120x-35000=0$$

Subtract 35000 from 6200 to get -28800.

$$-28800+120x=0$$

Add 28800 to both sides. Anything plus zero gives itself.

$$120x=28800$$

Divide both sides by 120.

$$x=\frac{28800}{120}$$

Divide 28800 by 120 to get 240.

$$x=240$$