Solve 2-2x-4/3=-x-1/6

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

Solve for x

$$x = \frac{19}{3} = 6\frac{1}{3} \approx 6.333333333$$

Steps for Solving Linear Equation

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

$$12-2\left(2x-4\right)=-\left(x-1\right)$$

Use the distributive property to multiply -2 by 2x-4.

$$12-4x+8=-\left(x-1\right)$$

Add 12 and 8 to get 20.

$$20-4x=-\left(x-1\right)$$

To find the opposite of x-1, find the opposite of each term.

$$20-4x=-x-\left(-1\right)$$

The opposite of -1 is 1.

$$20-4x=-x+1$$

Add x to both sides.

$$20-4x+x=1$$

Combine -4x and x to get -3x.

$$20-3x=1$$

Subtract 20 from both sides.

$$-3x=1-20$$

Subtract 20 from 1 to get -19.

$$-3x=-19$$

Divide both sides by -3.

$$x=\frac{-19}{-3}$$

Fraction \frac{-19}{-3} can be simplified to \frac{19}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{3}$$