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

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

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

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

Use the distributive property to multiply -2 by 6-2x.

$$6-12+4x=6x-3\left(x+3\right)$$

Subtract 12 from 6 to get -6.

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

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

$$-6+4x=6x-3x-9$$

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

$$-6+4x=3x-9$$

Subtract 3x from both sides.

$$-6+4x-3x=-9$$

Combine 4x and -3x to get x.

$$-6+x=-9$$

Add 6 to both sides.

$$x=-9+6$$

Add -9 and 6 to get -3.

$$x=-3$$