Solve 1.13-1/15-10=x-1/3.4

$$\frac { 1.13 - 1 } { 15 - 10 } = \frac { x - 1 } { 3.4 }$$

Solve for x

$$x=1.0884$$

Steps for Solving Linear Equation

Subtract 1 from 1.13 to get 0.13.

$$\frac{0.13}{15-10}=\frac{x-1}{3.4}$$

Subtract 10 from 15 to get 5.

$$\frac{0.13}{5}=\frac{x-1}{3.4}$$

Expand \frac{0.13}{5} by multiplying both numerator and the denominator by 100.

$$\frac{13}{500}=\frac{x-1}{3.4}$$

Divide each term of x-1 by 3.4 to get \frac{x}{3.4}+\frac{-1}{3.4}.

$$\frac{13}{500}=\frac{x}{3.4}+\frac{-1}{3.4}$$

Expand \frac{-1}{3.4} by multiplying both numerator and the denominator by 10.

$$\frac{13}{500}=\frac{x}{3.4}+\frac{-10}{34}$$

Reduce the fraction \frac{-10}{34} to lowest terms by extracting and canceling out 2.

$$\frac{13}{500}=\frac{x}{3.4}-\frac{5}{17}$$

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

$$\frac{x}{3.4}-\frac{5}{17}=\frac{13}{500}$$

Add \frac{5}{17} to both sides.

$$\frac{x}{3.4}=\frac{13}{500}+\frac{5}{17}$$

Least common multiple of 500 and 17 is 8500. Convert \frac{13}{500} and \frac{5}{17} to fractions with denominator 8500.

$$\frac{x}{3.4}=\frac{221}{8500}+\frac{2500}{8500}$$

Since \frac{221}{8500} and \frac{2500}{8500} have the same denominator, add them by adding their numerators.

$$\frac{x}{3.4}=\frac{221+2500}{8500}$$

Add 221 and 2500 to get 2721.

$$\frac{x}{3.4}=\frac{2721}{8500}$$

Multiply both sides by 3.4.

$$x=\frac{2721}{8500}\times 3.4$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{2721}{8500}\times \frac{17}{5}$$

Multiply \frac{2721}{8500} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2721\times 17}{8500\times 5}$$

Do the multiplications in the fraction \frac{2721\times 17}{8500\times 5}.

$$x=\frac{46257}{42500}$$

Reduce the fraction \frac{46257}{42500} to lowest terms by extracting and canceling out 17.

$$x=\frac{2721}{2500}$$