Solve 0.8+x=9/14+6/7

$$0.8+x= \frac{ 9 }{ 14 } + \frac{ 6 }{ 7 }$$

Solve for x

$$x=0.7$$

Steps for Solving Linear Equation

Least common multiple of 14 and 7 is 14. Convert \frac{9}{14} and \frac{6}{7} to fractions with denominator 14.

$$0.8+x=\frac{9}{14}+\frac{12}{14}$$

Since \frac{9}{14} and \frac{12}{14} have the same denominator, add them by adding their numerators.

$$0.8+x=\frac{9+12}{14}$$

Add 9 and 12 to get 21.

$$0.8+x=\frac{21}{14}$$

Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.

$$0.8+x=\frac{3}{2}$$

Subtract 0.8 from both sides.

$$x=\frac{3}{2}-0.8$$

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.

$$x=\frac{3}{2}-\frac{4}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{4}{5} to fractions with denominator 10.

$$x=\frac{15}{10}-\frac{8}{10}$$

Since \frac{15}{10} and \frac{8}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{15-8}{10}$$

Subtract 8 from 15 to get 7.

$$x=\frac{7}{10}$$