Solve (x-1/3)-(1/4)+4-1/7=24

$$( x - \frac { 1 } { 3 } ) - ( \frac { 1 } { 4 } ) + 4 - \frac { 1 } { 7 } = 24$$

Solve for x

$$x = \frac{1741}{84} = 20\frac{61}{84} \approx 20.726190476$$

Steps for Solving Linear Equation

Least common multiple of 3 and 4 is 12. Convert -\frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$x-\frac{4}{12}-\frac{3}{12}+4-\frac{1}{7}=24$$

Since -\frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-4-3}{12}+4-\frac{1}{7}=24$$

Subtract 3 from -4 to get -7.

$$x-\frac{7}{12}+4-\frac{1}{7}=24$$

Convert 4 to fraction \frac{48}{12}.

$$x-\frac{7}{12}+\frac{48}{12}-\frac{1}{7}=24$$

Since -\frac{7}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$x+\frac{-7+48}{12}-\frac{1}{7}=24$$

Add -7 and 48 to get 41.

$$x+\frac{41}{12}-\frac{1}{7}=24$$

Least common multiple of 12 and 7 is 84. Convert \frac{41}{12} and \frac{1}{7} to fractions with denominator 84.

$$x+\frac{287}{84}-\frac{12}{84}=24$$

Since \frac{287}{84} and \frac{12}{84} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{287-12}{84}=24$$

Subtract 12 from 287 to get 275.

$$x+\frac{275}{84}=24$$

Subtract \frac{275}{84} from both sides.

$$x=24-\frac{275}{84}$$

Convert 24 to fraction \frac{2016}{84}.

$$x=\frac{2016}{84}-\frac{275}{84}$$

Since \frac{2016}{84} and \frac{275}{84} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{2016-275}{84}$$

Subtract 275 from 2016 to get 1741.

$$x=\frac{1741}{84}$$