Solve -69/34+x=1+6/85

$$- \frac { 69 } { 34 } + x = 1 + \frac { 6 } { 85 }$$

Solve for x

$$x = \frac{31}{10} = 3\frac{1}{10} = 3.1$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{85}{85}.

$$-\frac{69}{34}+x=\frac{85}{85}+\frac{6}{85}$$

Since \frac{85}{85} and \frac{6}{85} have the same denominator, add them by adding their numerators.

$$-\frac{69}{34}+x=\frac{85+6}{85}$$

Add 85 and 6 to get 91.

$$-\frac{69}{34}+x=\frac{91}{85}$$

Add \frac{69}{34} to both sides.

$$x=\frac{91}{85}+\frac{69}{34}$$

Least common multiple of 85 and 34 is 170. Convert \frac{91}{85} and \frac{69}{34} to fractions with denominator 170.

$$x=\frac{182}{170}+\frac{345}{170}$$

Since \frac{182}{170} and \frac{345}{170} have the same denominator, add them by adding their numerators.

$$x=\frac{182+345}{170}$$

Add 182 and 345 to get 527.

$$x=\frac{527}{170}$$

Reduce the fraction \frac{527}{170} to lowest terms by extracting and canceling out 17.

$$x=\frac{31}{10}$$