Solve for w.

10 + 9w = 5w - 10

w =

w=-5

Step-by-step explanation:

Let's rewrite the equation.

10+9w=4w-10.

Next, we want variables on one side and constants on the other.

9w-4w=-10-10

Add like terms.

4w=-20

Now divide.

w=-5

Done!

10 + 9w = 5w - 10

Move variable to the left-hand side and change its sign

10 + 9w 5w - 10

Move constant to the right-hand side and change its sign

9w - 5w = - 10 - 10

Collect like terms

4w = - 10 - 10

Calculate the difference

4w = - 20

Divide both sides of the equation by 4

W = - 5

And the answer is

W = - 5