Solve 2(x+1)+1=-3(x-8)-1

$$2 ( x + 1 ) + 1 = - 3 ( x - 8 ) - 1$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$2x+2+1=-3\left(x-8\right)-1$$

Add 2 and 1 to get 3.

$$2x+3=-3\left(x-8\right)-1$$

Use the distributive property to multiply -3 by x-8.

$$2x+3=-3x+24-1$$

Subtract 1 from 24 to get 23.

$$2x+3=-3x+23$$

Add 3x to both sides.

$$2x+3+3x=23$$

Combine 2x and 3x to get 5x.

$$5x+3=23$$

Subtract 3 from both sides.

$$5x=23-3$$

Subtract 3 from 23 to get 20.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$