Solve 2left(x+1right)-3left(x-2right)=x+6

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -3 by x-2.

$$2x+2-3x+6=x+6$$

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

$$-x+2+6=x+6$$

Add 2 and 6 to get 8.

$$-x+8=x+6$$

Subtract x from both sides.

$$-x+8-x=6$$

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

$$-2x+8=6$$

Subtract 8 from both sides.

$$-2x=6-8$$

Subtract 8 from 6 to get -2.

$$-2x=-2$$

Divide both sides by -2.

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

Divide -2 by -2 to get 1.

$$x=1$$