Solve 6.5/100*x=8.5/100(2490-x)

$$\frac { 6.5 } { 100 } \times x = \frac { 8.5 } { 100 } ( 2490 - x )$$

Solve for x

$$x=1411$$

Steps for Solving Linear Equation

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

$$\frac{65}{1000}x=\frac{8.5}{100}\left(2490-x\right)$$

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

$$\frac{13}{200}x=\frac{8.5}{100}\left(2490-x\right)$$

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

$$\frac{13}{200}x=\frac{85}{1000}\left(2490-x\right)$$

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

$$\frac{13}{200}x=\frac{17}{200}\left(2490-x\right)$$

Use the distributive property to multiply \frac{17}{200} by 2490-x.

$$\frac{13}{200}x=\frac{17}{200}\times 2490+\frac{17}{200}\left(-1\right)x$$

Express \frac{17}{200}\times 2490 as a single fraction.

$$\frac{13}{200}x=\frac{17\times 2490}{200}+\frac{17}{200}\left(-1\right)x$$

Multiply 17 and 2490 to get 42330.

$$\frac{13}{200}x=\frac{42330}{200}+\frac{17}{200}\left(-1\right)x$$

Reduce the fraction \frac{42330}{200} to lowest terms by extracting and canceling out 10.

$$\frac{13}{200}x=\frac{4233}{20}+\frac{17}{200}\left(-1\right)x$$

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

$$\frac{13}{200}x=\frac{4233}{20}-\frac{17}{200}x$$

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

$$\frac{13}{200}x+\frac{17}{200}x=\frac{4233}{20}$$

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

$$\frac{3}{20}x=\frac{4233}{20}$$

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

$$x=\frac{4233}{20}\times \frac{20}{3}$$

Multiply \frac{4233}{20} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4233\times 20}{20\times 3}$$

Cancel out 20 in both numerator and denominator.

$$x=\frac{4233}{3}$$

Divide 4233 by 3 to get 1411.

$$x=1411$$