Solve 1=0.0142/1.065*100+1/1.065X

$$1 = \frac { 0.0142 } { 1.065 } \times 100 + \frac { 1 } { 1.065 } X$$

Solve for X

$$X=-0.355$$

Steps for Solving Linear Equation

Expand \frac{0.0142}{1.065} by multiplying both numerator and the denominator by 10000.

$$1=\frac{142}{10650}\times 100+\frac{1}{1.065}X$$

Reduce the fraction \frac{142}{10650} to lowest terms by extracting and canceling out 142.

$$1=\frac{1}{75}\times 100+\frac{1}{1.065}X$$

Multiply \frac{1}{75} and 100 to get \frac{100}{75}.

$$1=\frac{100}{75}+\frac{1}{1.065}X$$

Reduce the fraction \frac{100}{75} to lowest terms by extracting and canceling out 25.

$$1=\frac{4}{3}+\frac{1}{1.065}X$$

Expand \frac{1}{1.065} by multiplying both numerator and the denominator by 1000.

$$1=\frac{4}{3}+\frac{1000}{1065}X$$

Reduce the fraction \frac{1000}{1065} to lowest terms by extracting and canceling out 5.

$$1=\frac{4}{3}+\frac{200}{213}X$$

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

$$\frac{4}{3}+\frac{200}{213}X=1$$

Subtract \frac{4}{3} from both sides.

$$\frac{200}{213}X=1-\frac{4}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{200}{213}X=\frac{3}{3}-\frac{4}{3}$$

Since \frac{3}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200}{213}X=\frac{3-4}{3}$$

Subtract 4 from 3 to get -1.

$$\frac{200}{213}X=-\frac{1}{3}$$

Multiply both sides by \frac{213}{200}, the reciprocal of \frac{200}{213}.

$$X=-\frac{1}{3}\times \frac{213}{200}$$

Multiply -\frac{1}{3} times \frac{213}{200} by multiplying numerator times numerator and denominator times denominator.

$$X=\frac{-213}{3\times 200}$$

Do the multiplications in the fraction \frac{-213}{3\times 200}.

$$X=\frac{-213}{600}$$

Reduce the fraction \frac{-213}{600} to lowest terms by extracting and canceling out 3.

$$X=-\frac{71}{200}$$