Solve x+1/2x+1/21/3x=180

$$x+ \frac{ 1 }{ 2 } x+ \frac{ 1 }{ 2 } \frac{ 1 }{ 3 } x=180$$

Solve for x

$$x=108$$

Steps for Solving Linear Equation

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

$$\frac{3}{2}x+\frac{1}{2}\times \frac{1}{3}x=180$$

Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}x+\frac{1\times 1}{2\times 3}x=180$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$\frac{3}{2}x+\frac{1}{6}x=180$$

Combine \frac{3}{2}x and \frac{1}{6}x to get \frac{5}{3}x.

$$\frac{5}{3}x=180$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=180\times \frac{3}{5}$$

Express 180\times \frac{3}{5} as a single fraction.

$$x=\frac{180\times 3}{5}$$

Multiply 180 and 3 to get 540.

$$x=\frac{540}{5}$$

Divide 540 by 5 to get 108.

$$x=108$$