Solve x-2/6-1-x/2=x-5/6

$$\frac { x - 2 } { 6 } - \frac { 1 - x } { 2 } = \frac { x - 5 } { 6 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$x-2-3\left(1-x\right)=x-5$$

Use the distributive property to multiply -3 by 1-x.

$$x-2-3+3x=x-5$$

Subtract 3 from -2 to get -5.

$$x-5+3x=x-5$$

Combine x and 3x to get 4x.

$$4x-5=x-5$$

Subtract x from both sides.

$$4x-5-x=-5$$

Combine 4x and -x to get 3x.

$$3x-5=-5$$

Add 5 to both sides.

$$3x=-5+5$$

Add -5 and 5 to get 0.

$$3x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.

$$x=0$$