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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

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

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

$$2x-4-12x=12-2x$$

Combine 2x and -12x to get -10x.

$$-10x-4=12-2x$$

Add 2x to both sides.

$$-10x-4+2x=12$$

Combine -10x and 2x to get -8x.

$$-8x-4=12$$

Add 4 to both sides.

$$-8x=12+4$$

Add 12 and 4 to get 16.

$$-8x=16$$

Divide both sides by -8.

$$x=\frac{16}{-8}$$

Divide 16 by -8 to get -2.

$$x=-2$$