Solve 65/100*x=85/100(2480-x)

$$\frac { 65 } { 100 } \times x = \frac { 85 } { 100 } ( 2480 - x )$$

Solve for x

$$x = \frac{4216}{3} = 1405\frac{1}{3} \approx 1405.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$\frac{13}{20}x=\frac{85}{100}\left(2480-x\right)$$

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{13}{20}x=\frac{17}{20}\left(2480-x\right)$$

Use the distributive property to multiply \frac{17}{20} by 2480-x.

$$\frac{13}{20}x=\frac{17}{20}\times 2480+\frac{17}{20}\left(-1\right)x$$

Express \frac{17}{20}\times 2480 as a single fraction.

$$\frac{13}{20}x=\frac{17\times 2480}{20}+\frac{17}{20}\left(-1\right)x$$

Multiply 17 and 2480 to get 42160.

$$\frac{13}{20}x=\frac{42160}{20}+\frac{17}{20}\left(-1\right)x$$

Divide 42160 by 20 to get 2108.

$$\frac{13}{20}x=2108+\frac{17}{20}\left(-1\right)x$$

Multiply \frac{17}{20} and -1 to get -\frac{17}{20}.

$$\frac{13}{20}x=2108-\frac{17}{20}x$$

Add \frac{17}{20}x to both sides.

$$\frac{13}{20}x+\frac{17}{20}x=2108$$

Combine \frac{13}{20}x and \frac{17}{20}x to get \frac{3}{2}x.

$$\frac{3}{2}x=2108$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=2108\times \frac{2}{3}$$

Express 2108\times \frac{2}{3} as a single fraction.

$$x=\frac{2108\times 2}{3}$$

Multiply 2108 and 2 to get 4216.

$$x=\frac{4216}{3}$$