Solve 80(10)+120(x)+500(2/3(12))-35000=0

$$80(10)+120(x)+500( \frac{ 2 }{ 3 } (12))-35000=0$$

Solve for x

$$x = \frac{755}{3} = 251\frac{2}{3} \approx 251.666666667$$

Steps for Solving Linear Equation

Multiply 80 and 10 to get 800.

$$800+120x+500\times \frac{2}{3}\times 12-35000=0$$

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

$$800+120x+\frac{500\times 2}{3}\times 12-35000=0$$

Multiply 500 and 2 to get 1000.

$$800+120x+\frac{1000}{3}\times 12-35000=0$$

Express \frac{1000}{3}\times 12 as a single fraction.

$$800+120x+\frac{1000\times 12}{3}-35000=0$$

Multiply 1000 and 12 to get 12000.

$$800+120x+\frac{12000}{3}-35000=0$$

Divide 12000 by 3 to get 4000.

$$800+120x+4000-35000=0$$

Add 800 and 4000 to get 4800.

$$4800+120x-35000=0$$

Subtract 35000 from 4800 to get -30200.

$$-30200+120x=0$$

Add 30200 to both sides. Anything plus zero gives itself.

$$120x=30200$$

Divide both sides by 120.

$$x=\frac{30200}{120}$$

Reduce the fraction \frac{30200}{120} to lowest terms by extracting and canceling out 40.

$$x=\frac{755}{3}$$