Solve 364=(1/2x)+(2/3x)+x

$$364 = ( 1 / 2 x ) + ( 2 / 3 x ) + x$$

Solve for x

$$x=168$$

Steps for Solving Linear Equation

Combine \frac{1}{2}x and \frac{2}{3}x to get \frac{7}{6}x.

$$364=\frac{7}{6}x+x$$

Combine \frac{7}{6}x and x to get \frac{13}{6}x.

$$364=\frac{13}{6}x$$

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

$$\frac{13}{6}x=364$$

Multiply both sides by \frac{6}{13}, the reciprocal of \frac{13}{6}.

$$x=364\times \frac{6}{13}$$

Express 364\times \frac{6}{13} as a single fraction.

$$x=\frac{364\times 6}{13}$$

Multiply 364 and 6 to get 2184.

$$x=\frac{2184}{13}$$

Divide 2184 by 13 to get 168.

$$x=168$$