Solve 4(x+1)+x=3(x-2)+2

$$4 ( x + 1 ) + x = 3 ( x - 2 ) + 2$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+1.

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

Combine 4x and x to get 5x.

$$5x+4=3\left(x-2\right)+2$$

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

$$5x+4=3x-6+2$$

Add -6 and 2 to get -4.

$$5x+4=3x-4$$

Subtract 3x from both sides.

$$5x+4-3x=-4$$

Combine 5x and -3x to get 2x.

$$2x+4=-4$$

Subtract 4 from both sides.

$$2x=-4-4$$

Subtract 4 from -4 to get -8.

$$2x=-8$$

Divide both sides by 2.

$$x=\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$x=-4$$