Solve x+2/1-2x-2/3-x-1/2=0

$$\frac { x + 2 } { 1 } - \frac { 2 x - 2 } { 3 } - \frac { x - 1 } { 2 } = 0$$

Solve for x

$$x=19$$

Steps for Solving Linear Equation

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

$$6\left(x+2\right)-2\left(2x-2\right)-3\left(x-1\right)=0$$

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

$$6x+12-2\left(2x-2\right)-3\left(x-1\right)=0$$

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

$$6x+12-4x+4-3\left(x-1\right)=0$$

Combine 6x and -4x to get 2x.

$$2x+12+4-3\left(x-1\right)=0$$

Add 12 and 4 to get 16.

$$2x+16-3\left(x-1\right)=0$$

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

$$2x+16-3x+3=0$$

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

$$-x+16+3=0$$

Add 16 and 3 to get 19.

$$-x+19=0$$

Subtract 19 from both sides. Anything subtracted from zero gives its negation.

$$-x=-19$$

Multiply both sides by -1.

$$x=19$$