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

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

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

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

$$-2\left(x-2\right)=6x-\left(3x-2\right)$$

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

$$-2x+4=6x-\left(3x-2\right)$$

To find the opposite of 3x-2, find the opposite of each term.

$$-2x+4=6x-3x-\left(-2\right)$$

The opposite of -2 is 2.

$$-2x+4=6x-3x+2$$

Combine 6x and -3x to get 3x.

$$-2x+4=3x+2$$

Subtract 3x from both sides.

$$-2x+4-3x=2$$

Combine -2x and -3x to get -5x.

$$-5x+4=2$$

Subtract 4 from both sides.

$$-5x=2-4$$

Subtract 4 from 2 to get -2.

$$-5x=-2$$

Divide both sides by -5.

$$x=\frac{-2}{-5}$$

Fraction \frac{-2}{-5} can be simplified to \frac{2}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{5}$$