Solve 0.45-0.38/0.1=x-0.38/0.58-0.5

$$\frac { 0.45 - 0.38 } { 0.1 } = \frac { x - 0.38 } { 0.58 - 0.5 }$$

Solve for x

$$x=0.436$$

Steps for Solving Linear Equation

Subtract 0.38 from 0.45 to get 0.07.

$$\frac{0.07}{0.1}=\frac{x-0.38}{0.58-0.5}$$

Expand \frac{0.07}{0.1} by multiplying both numerator and the denominator by 100.

$$\frac{7}{10}=\frac{x-0.38}{0.58-0.5}$$

Subtract 0.5 from 0.58 to get 0.08.

$$\frac{7}{10}=\frac{x-0.38}{0.08}$$

Divide each term of x-0.38 by 0.08 to get \frac{x}{0.08}+\frac{-0.38}{0.08}.

$$\frac{7}{10}=\frac{x}{0.08}+\frac{-0.38}{0.08}$$

Expand \frac{-0.38}{0.08} by multiplying both numerator and the denominator by 100.

$$\frac{7}{10}=\frac{x}{0.08}+\frac{-38}{8}$$

Reduce the fraction \frac{-38}{8} to lowest terms by extracting and canceling out 2.

$$\frac{7}{10}=\frac{x}{0.08}-\frac{19}{4}$$

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

$$\frac{x}{0.08}-\frac{19}{4}=\frac{7}{10}$$

Add \frac{19}{4} to both sides.

$$\frac{x}{0.08}=\frac{7}{10}+\frac{19}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{7}{10} and \frac{19}{4} to fractions with denominator 20.

$$\frac{x}{0.08}=\frac{14}{20}+\frac{95}{20}$$

Since \frac{14}{20} and \frac{95}{20} have the same denominator, add them by adding their numerators.

$$\frac{x}{0.08}=\frac{14+95}{20}$$

Add 14 and 95 to get 109.

$$\frac{x}{0.08}=\frac{109}{20}$$

Multiply both sides by 0.08.

$$x=\frac{109}{20}\times 0.08$$

Convert decimal number 0.08 to fraction \frac{8}{100}. Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{109}{20}\times \frac{2}{25}$$

Multiply \frac{109}{20} times \frac{2}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{109\times 2}{20\times 25}$$

Do the multiplications in the fraction \frac{109\times 2}{20\times 25}.

$$x=\frac{218}{500}$$

Reduce the fraction \frac{218}{500} to lowest terms by extracting and canceling out 2.

$$x=\frac{109}{250}$$