Solve x+3/2+x+2/3=-(-x-2)

$$\frac { x + 3 } { 2 } + \frac { x + 2 } { 3 } = - ( - x - 2 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

$$3x+9+2\left(x+2\right)=-6\left(-x-2\right)$$

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

$$3x+9+2x+4=-6\left(-x-2\right)$$

Combine 3x and 2x to get 5x.

$$5x+9+4=-6\left(-x-2\right)$$

Add 9 and 4 to get 13.

$$5x+13=-6\left(-x-2\right)$$

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

$$5x+13=-6\left(-x\right)+12$$

Multiply -6 and -1 to get 6.

$$5x+13=6x+12$$

Subtract 6x from both sides.

$$5x+13-6x=12$$

Combine 5x and -6x to get -x.

$$-x+13=12$$

Subtract 13 from both sides.

$$-x=12-13$$

Subtract 13 from 12 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$