Solve 120%x+115%(3500-x)=5125

$$120 \% x+115 \% (3500-x)=5125$$

Solve for x

$$x=22000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{120}{100} to lowest terms by extracting and canceling out 20.

$$\frac{6}{5}x+\frac{115}{100}\left(3500-x\right)=5125$$

Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$\frac{6}{5}x+\frac{23}{20}\left(3500-x\right)=5125$$

Use the distributive property to multiply \frac{23}{20} by 3500-x.

$$\frac{6}{5}x+\frac{23}{20}\times 3500+\frac{23}{20}\left(-1\right)x=5125$$

Express \frac{23}{20}\times 3500 as a single fraction.

$$\frac{6}{5}x+\frac{23\times 3500}{20}+\frac{23}{20}\left(-1\right)x=5125$$

Multiply 23 and 3500 to get 80500.

$$\frac{6}{5}x+\frac{80500}{20}+\frac{23}{20}\left(-1\right)x=5125$$

Divide 80500 by 20 to get 4025.

$$\frac{6}{5}x+4025+\frac{23}{20}\left(-1\right)x=5125$$

Multiply \frac{23}{20} and -1 to get -\frac{23}{20}.

$$\frac{6}{5}x+4025-\frac{23}{20}x=5125$$

Combine \frac{6}{5}x and -\frac{23}{20}x to get \frac{1}{20}x.

$$\frac{1}{20}x+4025=5125$$

Subtract 4025 from both sides.

$$\frac{1}{20}x=5125-4025$$

Subtract 4025 from 5125 to get 1100.

$$\frac{1}{20}x=1100$$

Multiply both sides by 20, the reciprocal of \frac{1}{20}.

$$x=1100\times 20$$

Multiply 1100 and 20 to get 22000.

$$x=22000$$