Solve 80*18+500(2/3*18)+120x=35000

$$80 \times 18+500( \frac{ 2 }{ 3 } \times 18)+120x=35000$$

Solve for x

$$x = \frac{689}{3} = 229\frac{2}{3} \approx 229.666666667$$

Steps for Solving Linear Equation

Multiply 80 and 18 to get 1440.

$$1440+500\times \frac{2}{3}\times 18+120x=35000$$

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

$$1440+\frac{500\times 2}{3}\times 18+120x=35000$$

Multiply 500 and 2 to get 1000.

$$1440+\frac{1000}{3}\times 18+120x=35000$$

Express \frac{1000}{3}\times 18 as a single fraction.

$$1440+\frac{1000\times 18}{3}+120x=35000$$

Multiply 1000 and 18 to get 18000.

$$1440+\frac{18000}{3}+120x=35000$$

Divide 18000 by 3 to get 6000.

$$1440+6000+120x=35000$$

Add 1440 and 6000 to get 7440.

$$7440+120x=35000$$

Subtract 7440 from both sides.

$$120x=35000-7440$$

Subtract 7440 from 35000 to get 27560.

$$120x=27560$$

Divide both sides by 120.

$$x=\frac{27560}{120}$$

Reduce the fraction \frac{27560}{120} to lowest terms by extracting and canceling out 40.

$$x=\frac{689}{3}$$