Solve 200=1/6x+1/2x

$$200 = \frac { 1 } { 6 } x + \frac { 1 } { 2 } x$$

Solve for x

$$x=300$$

Steps for Solving Linear Equation

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

$$200=\frac{2}{3}x$$

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

$$\frac{2}{3}x=200$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=200\times \frac{3}{2}$$

Express 200\times \frac{3}{2} as a single fraction.

$$x=\frac{200\times 3}{2}$$

Multiply 200 and 3 to get 600.

$$x=\frac{600}{2}$$

Divide 600 by 2 to get 300.

$$x=300$$