Solve 3(11/6-x)-4=2x-3(1-x/6)

$$3 ( \frac { 11 } { 6 } - x ) - 4 = 2 x - 3 ( 1 - \frac { x } { 6 } )$$

Solve for x

$$x=\frac{9}{11}\approx 0.818181818$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$18\left(\frac{11}{6}-x\right)-24=12x-18\left(1-\frac{x}{6}\right)$$

Use the distributive property to multiply 18 by \frac{11}{6}-x.

$$18\times \frac{11}{6}-18x-24=12x-18\left(1-\frac{x}{6}\right)$$

Express 18\times \frac{11}{6} as a single fraction.

$$\frac{18\times 11}{6}-18x-24=12x-18\left(1-\frac{x}{6}\right)$$

Multiply 18 and 11 to get 198.

$$\frac{198}{6}-18x-24=12x-18\left(1-\frac{x}{6}\right)$$

Divide 198 by 6 to get 33.

$$33-18x-24=12x-18\left(1-\frac{x}{6}\right)$$

Subtract 24 from 33 to get 9.

$$9-18x=12x-18\left(1-\frac{x}{6}\right)$$

Add 18\left(1-\frac{x}{6}\right) to both sides.

$$9-18x+18\left(1-\frac{x}{6}\right)=12x$$

Use the distributive property to multiply 18 by 1-\frac{x}{6}.

$$9-18x+18+18\left(-\frac{x}{6}\right)=12x$$

Cancel out 6, the greatest common factor in 18 and 6.

$$9-18x+18-3x=12x$$

Add 9 and 18 to get 27.

$$27-18x-3x=12x$$

Combine -18x and -3x to get -21x.

$$27-21x=12x$$

Subtract 12x from both sides.

$$27-21x-12x=0$$

Combine -21x and -12x to get -33x.

$$27-33x=0$$

Subtract 27 from both sides. Anything subtracted from zero gives its negation.

$$-33x=-27$$

Divide both sides by -33.

$$x=\frac{-27}{-33}$$

Reduce the fraction \frac{-27}{-33} to lowest terms by extracting and canceling out -3.

$$x=\frac{9}{11}$$