Solve 3-x/3+x/6=11/4-5/2x-frac{3}{2}

$$3 - \frac { x } { 3 } + \frac { x } { 6 } = \frac { 11 } { 4 } - \frac { 5 } { 2 } x - \frac { 3 } { 2 }$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,6,4,2.

$$36-4x+2x=33-30x-18$$

Combine -4x and 2x to get -2x.

$$36-2x=33-30x-18$$

Subtract 18 from 33 to get 15.

$$36-2x=15-30x$$

Add 30x to both sides.

$$36-2x+30x=15$$

Combine -2x and 30x to get 28x.

$$36+28x=15$$

Subtract 36 from both sides.

$$28x=15-36$$

Subtract 36 from 15 to get -21.

$$28x=-21$$

Divide both sides by 28.

$$x=\frac{-21}{28}$$

Reduce the fraction \frac{-21}{28} to lowest terms by extracting and canceling out 7.

$$x=-\frac{3}{4}$$