Solve 6.5/100*x=8.5/100(2480-x)

$$\frac { 6.5 } { 100 } \times x = \frac { 8.5 } { 100 } ( 2480 - x )$$

Solve for x

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

Steps for Solving Linear Equation

Expand \frac{6.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{65}{1000}x=\frac{8.5}{100}\left(2480-x\right)$$

Reduce the fraction \frac{65}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{13}{200}x=\frac{8.5}{100}\left(2480-x\right)$$

Expand \frac{8.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{13}{200}x=\frac{85}{1000}\left(2480-x\right)$$

Reduce the fraction \frac{85}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{13}{200}x=\frac{17}{200}\left(2480-x\right)$$

Use the distributive property to multiply \frac{17}{200} by 2480-x.

$$\frac{13}{200}x=\frac{17}{200}\times 2480+\frac{17}{200}\left(-1\right)x$$

Express \frac{17}{200}\times 2480 as a single fraction.

$$\frac{13}{200}x=\frac{17\times 2480}{200}+\frac{17}{200}\left(-1\right)x$$

Multiply 17 and 2480 to get 42160.

$$\frac{13}{200}x=\frac{42160}{200}+\frac{17}{200}\left(-1\right)x$$

Reduce the fraction \frac{42160}{200} to lowest terms by extracting and canceling out 40.

$$\frac{13}{200}x=\frac{1054}{5}+\frac{17}{200}\left(-1\right)x$$

Multiply \frac{17}{200} and -1 to get -\frac{17}{200}.

$$\frac{13}{200}x=\frac{1054}{5}-\frac{17}{200}x$$

Add \frac{17}{200}x to both sides.

$$\frac{13}{200}x+\frac{17}{200}x=\frac{1054}{5}$$

Combine \frac{13}{200}x and \frac{17}{200}x to get \frac{3}{20}x.

$$\frac{3}{20}x=\frac{1054}{5}$$

Multiply both sides by \frac{20}{3}, the reciprocal of \frac{3}{20}.

$$x=\frac{1054}{5}\times \frac{20}{3}$$

Multiply \frac{1054}{5} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1054\times 20}{5\times 3}$$

Do the multiplications in the fraction \frac{1054\times 20}{5\times 3}.

$$x=\frac{21080}{15}$$

Reduce the fraction \frac{21080}{15} to lowest terms by extracting and canceling out 5.

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