Solve 2x(1+15%)+5x(1-4%)=4970

$$2x(1+15 \% )+5x(1-4 \% )=4970$$

Solve for x

$$x=700$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$2x\left(1+\frac{3}{20}\right)+5x\left(1-\frac{4}{100}\right)=4970$$

Convert 1 to fraction \frac{20}{20}.

$$2x\left(\frac{20}{20}+\frac{3}{20}\right)+5x\left(1-\frac{4}{100}\right)=4970$$

Since \frac{20}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$2x\times \frac{20+3}{20}+5x\left(1-\frac{4}{100}\right)=4970$$

Add 20 and 3 to get 23.

$$2x\times \frac{23}{20}+5x\left(1-\frac{4}{100}\right)=4970$$

Express 2\times \frac{23}{20} as a single fraction.

$$\frac{2\times 23}{20}x+5x\left(1-\frac{4}{100}\right)=4970$$

Multiply 2 and 23 to get 46.

$$\frac{46}{20}x+5x\left(1-\frac{4}{100}\right)=4970$$

Reduce the fraction \frac{46}{20} to lowest terms by extracting and canceling out 2.

$$\frac{23}{10}x+5x\left(1-\frac{4}{100}\right)=4970$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{23}{10}x+5x\left(1-\frac{1}{25}\right)=4970$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{23}{10}x+5x\left(\frac{25}{25}-\frac{1}{25}\right)=4970$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23}{10}x+5x\times \frac{25-1}{25}=4970$$

Subtract 1 from 25 to get 24.

$$\frac{23}{10}x+5x\times \frac{24}{25}=4970$$

Express 5\times \frac{24}{25} as a single fraction.

$$\frac{23}{10}x+\frac{5\times 24}{25}x=4970$$

Multiply 5 and 24 to get 120.

$$\frac{23}{10}x+\frac{120}{25}x=4970$$

Reduce the fraction \frac{120}{25} to lowest terms by extracting and canceling out 5.

$$\frac{23}{10}x+\frac{24}{5}x=4970$$

Combine \frac{23}{10}x and \frac{24}{5}x to get \frac{71}{10}x.

$$\frac{71}{10}x=4970$$

Multiply both sides by \frac{10}{71}, the reciprocal of \frac{71}{10}.

$$x=4970\times \frac{10}{71}$$

Express 4970\times \frac{10}{71} as a single fraction.

$$x=\frac{4970\times 10}{71}$$

Multiply 4970 and 10 to get 49700.

$$x=\frac{49700}{71}$$

Divide 49700 by 71 to get 700.

$$x=700$$