Solve E(R)=1.5%+0.8(6.4%-1.5%)=X

$$E ( R ) = 1.5 \% + 0.8 ( 6.4 \% - 1.5 \% ) = X$$

Solve for X

$$X=0.0542$$

Steps for Solving Linear Equation

Expand \frac{1.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{15}{1000}+0.8\left(\frac{6.4}{100}-\frac{1.5}{100}\right)=X$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{3}{200}+0.8\left(\frac{6.4}{100}-\frac{1.5}{100}\right)=X$$

Expand \frac{6.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{3}{200}+0.8\left(\frac{64}{1000}-\frac{1.5}{100}\right)=X$$

Reduce the fraction \frac{64}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{3}{200}+0.8\left(\frac{8}{125}-\frac{1.5}{100}\right)=X$$

Expand \frac{1.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{3}{200}+0.8\left(\frac{8}{125}-\frac{15}{1000}\right)=X$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{3}{200}+0.8\left(\frac{8}{125}-\frac{3}{200}\right)=X$$

Least common multiple of 125 and 200 is 1000. Convert \frac{8}{125} and \frac{3}{200} to fractions with denominator 1000.

$$\frac{3}{200}+0.8\left(\frac{64}{1000}-\frac{15}{1000}\right)=X$$

Since \frac{64}{1000} and \frac{15}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{200}+0.8\times \frac{64-15}{1000}=X$$

Subtract 15 from 64 to get 49.

$$\frac{3}{200}+0.8\times \frac{49}{1000}=X$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{200}+\frac{4}{5}\times \frac{49}{1000}=X$$

Multiply \frac{4}{5} times \frac{49}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{200}+\frac{4\times 49}{5\times 1000}=X$$

Do the multiplications in the fraction \frac{4\times 49}{5\times 1000}.

$$\frac{3}{200}+\frac{196}{5000}=X$$

Reduce the fraction \frac{196}{5000} to lowest terms by extracting and canceling out 4.

$$\frac{3}{200}+\frac{49}{1250}=X$$

Least common multiple of 200 and 1250 is 5000. Convert \frac{3}{200} and \frac{49}{1250} to fractions with denominator 5000.

$$\frac{75}{5000}+\frac{196}{5000}=X$$

Since \frac{75}{5000} and \frac{196}{5000} have the same denominator, add them by adding their numerators.

$$\frac{75+196}{5000}=X$$

Add 75 and 196 to get 271.

$$\frac{271}{5000}=X$$

Swap sides so that all variable terms are on the left hand side.

$$X=\frac{271}{5000}$$