Solve 5=1/3-1/2+4+c

$$5 = \frac { 1 } { 3 } - \frac { 1 } { 2 } + 4 + c$$

Solve for c

$$c = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$5=\frac{2}{6}-\frac{3}{6}+4+c$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$5=\frac{2-3}{6}+4+c$$

Subtract 3 from 2 to get -1.

$$5=-\frac{1}{6}+4+c$$

Convert 4 to fraction \frac{24}{6}.

$$5=-\frac{1}{6}+\frac{24}{6}+c$$

Since -\frac{1}{6} and \frac{24}{6} have the same denominator, add them by adding their numerators.

$$5=\frac{-1+24}{6}+c$$

Add -1 and 24 to get 23.

$$5=\frac{23}{6}+c$$

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

$$\frac{23}{6}+c=5$$

Subtract \frac{23}{6} from both sides.

$$c=5-\frac{23}{6}$$

Convert 5 to fraction \frac{30}{6}.

$$c=\frac{30}{6}-\frac{23}{6}$$

Since \frac{30}{6} and \frac{23}{6} have the same denominator, subtract them by subtracting their numerators.

$$c=\frac{30-23}{6}$$

Subtract 23 from 30 to get 7.

$$c=\frac{7}{6}$$