Solve x-5/16=32/5-1/8

$$x- \frac{ 5 }{ 16 } = \frac{ 32 }{ 5 } - \frac{ 1 }{ 8 }$$

Solve for x

$$x = \frac{527}{80} = 6\frac{47}{80} = 6.5875$$

Steps for Solving Linear Equation

Least common multiple of 5 and 8 is 40. Convert \frac{32}{5} and \frac{1}{8} to fractions with denominator 40.

$$x-\frac{5}{16}=\frac{256}{40}-\frac{5}{40}$$

Since \frac{256}{40} and \frac{5}{40} have the same denominator, subtract them by subtracting their numerators.

$$x-\frac{5}{16}=\frac{256-5}{40}$$

Subtract 5 from 256 to get 251.

$$x-\frac{5}{16}=\frac{251}{40}$$

Add \frac{5}{16} to both sides.

$$x=\frac{251}{40}+\frac{5}{16}$$

Least common multiple of 40 and 16 is 80. Convert \frac{251}{40} and \frac{5}{16} to fractions with denominator 80.

$$x=\frac{502}{80}+\frac{25}{80}$$

Since \frac{502}{80} and \frac{25}{80} have the same denominator, add them by adding their numerators.

$$x=\frac{502+25}{80}$$

Add 502 and 25 to get 527.

$$x=\frac{527}{80}$$