Solve 2(x+1)+3(x-1)-(x-2)=9

$$2 ( x + 1 ) + 3 ( x - 1 ) - ( x - 2 ) = 9$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+1.

$$2x+2+3\left(x-1\right)-\left(x-2\right)=9$$

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

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

Combine 2x and 3x to get 5x.

$$5x+2-3-\left(x-2\right)=9$$

Subtract 3 from 2 to get -1.

$$5x-1-\left(x-2\right)=9$$

To find the opposite of x-2, find the opposite of each term.

$$5x-1-x-\left(-2\right)=9$$

The opposite of -2 is 2.

$$5x-1-x+2=9$$

Combine 5x and -x to get 4x.

$$4x-1+2=9$$

Add -1 and 2 to get 1.

$$4x+1=9$$

Subtract 1 from both sides.

$$4x=9-1$$

Subtract 1 from 9 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$