Solve 65/100x=85/100left(2490-xright)

$$\frac{ 65 }{ 100 } x = \frac{ 85 }{ 100 } \left( 2490-x \right)$$

Solve for x

$$x=1411$$

Steps for Solving Linear Equation

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

$$\frac{13}{20}x=\frac{85}{100}\left(2490-x\right)$$

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

$$\frac{13}{20}x=\frac{17}{20}\left(2490-x\right)$$

Use the distributive property to multiply \frac{17}{20} by 2490-x.

$$\frac{13}{20}x=\frac{17}{20}\times 2490+\frac{17}{20}\left(-1\right)x$$

Express \frac{17}{20}\times 2490 as a single fraction.

$$\frac{13}{20}x=\frac{17\times 2490}{20}+\frac{17}{20}\left(-1\right)x$$

Multiply 17 and 2490 to get 42330.

$$\frac{13}{20}x=\frac{42330}{20}+\frac{17}{20}\left(-1\right)x$$

Reduce the fraction \frac{42330}{20} to lowest terms by extracting and canceling out 10.

$$\frac{13}{20}x=\frac{4233}{2}+\frac{17}{20}\left(-1\right)x$$

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

$$\frac{13}{20}x=\frac{4233}{2}-\frac{17}{20}x$$

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

$$\frac{13}{20}x+\frac{17}{20}x=\frac{4233}{2}$$

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

$$\frac{3}{2}x=\frac{4233}{2}$$

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

$$x=\frac{4233}{2}\times \frac{2}{3}$$

Multiply \frac{4233}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4233\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

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

Divide 4233 by 3 to get 1411.

$$x=1411$$