Solve x-1/3+1/2x+3/5x=40000

$$x - \frac { 1 } { 3 } + \frac { 1 } { 2 } x + \frac { 3 } { 5 } x = 40000$$

Solve for x

$$x = \frac{171430}{9} = 19047\frac{7}{9} \approx 19047.777777778$$

Steps for Solving Linear Equation

Combine x and \frac{1}{2}x to get \frac{3}{2}x.

$$\frac{3}{2}x-\frac{1}{3}+\frac{3}{5}x=40000$$

Combine \frac{3}{2}x and \frac{3}{5}x to get \frac{21}{10}x.

$$\frac{21}{10}x-\frac{1}{3}=40000$$

Add \frac{1}{3} to both sides.

$$\frac{21}{10}x=40000+\frac{1}{3}$$

Convert 40000 to fraction \frac{120000}{3}.

$$\frac{21}{10}x=\frac{120000}{3}+\frac{1}{3}$$

Since \frac{120000}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{21}{10}x=\frac{120000+1}{3}$$

Add 120000 and 1 to get 120001.

$$\frac{21}{10}x=\frac{120001}{3}$$

Multiply both sides by \frac{10}{21}, the reciprocal of \frac{21}{10}.

$$x=\frac{120001}{3}\times \frac{10}{21}$$

Multiply \frac{120001}{3} times \frac{10}{21} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{120001\times 10}{3\times 21}$$

Do the multiplications in the fraction \frac{120001\times 10}{3\times 21}.

$$x=\frac{1200010}{63}$$

Reduce the fraction \frac{1200010}{63} to lowest terms by extracting and canceling out 7.

$$x=\frac{171430}{9}$$