Solve 2x-3/9-x+1/6=11-2x/2

$$2 x - 3 / 9 - x + 1 / 6 = 11 - 2 x / 2$$

Solve for x

$$x = \frac{67}{12} = 5\frac{7}{12} \approx 5.583333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,6,2.

$$36x-2\times 3-18x+3=198-9\times 2x$$

Multiply -2 and 3 to get -6.

$$36x-6-18x+3=198-9\times 2x$$

Combine 36x and -18x to get 18x.

$$18x-6+3=198-9\times 2x$$

Add -6 and 3 to get -3.

$$18x-3=198-9\times 2x$$

Multiply -9 and 2 to get -18.

$$18x-3=198-18x$$

Add 18x to both sides.

$$18x-3+18x=198$$

Combine 18x and 18x to get 36x.

$$36x-3=198$$

Add 3 to both sides.

$$36x=198+3$$

Add 198 and 3 to get 201.

$$36x=201$$

Divide both sides by 36.

$$x=\frac{201}{36}$$

Reduce the fraction \frac{201}{36} to lowest terms by extracting and canceling out 3.

$$x=\frac{67}{12}$$