Solve 2(w+2)-w=3(w-1)+9

$$2 ( w + 2 ) - w = 3 ( w - 1 ) + 9$$

Solve for w

$$w=-1$$

Steps for Solving Linear Equation

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

$$2w+4-w=3\left(w-1\right)+9$$

Combine 2w and -w to get w.

$$w+4=3\left(w-1\right)+9$$

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

$$w+4=3w-3+9$$

Add -3 and 9 to get 6.

$$w+4=3w+6$$

Subtract 3w from both sides.

$$w+4-3w=6$$

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

$$-2w+4=6$$

Subtract 4 from both sides.

$$-2w=6-4$$

Subtract 4 from 6 to get 2.

$$-2w=2$$

Divide both sides by -2.

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

Divide 2 by -2 to get -1.

$$w=-1$$