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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

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

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

$$2x+4-3x+9=x+1$$

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

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

Add 4 and 9 to get 13.

$$-x+13=x+1$$

Subtract x from both sides.

$$-x+13-x=1$$

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

$$-2x+13=1$$

Subtract 13 from both sides.

$$-2x=1-13$$

Subtract 13 from 1 to get -12.

$$-2x=-12$$

Divide both sides by -2.

$$x=\frac{-12}{-2}$$

Divide -12 by -2 to get 6.

$$x=6$$