Solve 5(w+2)+w=3(w-1)+1

$$5 ( w + 2 ) + w = 3 ( w - 1 ) + 1$$

Solve for w

$$w=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by w+2.

$$5w+10+w=3\left(w-1\right)+1$$

Combine 5w and w to get 6w.

$$6w+10=3\left(w-1\right)+1$$

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

$$6w+10=3w-3+1$$

Add -3 and 1 to get -2.

$$6w+10=3w-2$$

Subtract 3w from both sides.

$$6w+10-3w=-2$$

Combine 6w and -3w to get 3w.

$$3w+10=-2$$

Subtract 10 from both sides.

$$3w=-2-10$$

Subtract 10 from -2 to get -12.

$$3w=-12$$

Divide both sides by 3.

$$w=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$w=-4$$