Answer
Success!
w=12

↓Steps Explained:↓

Solve for w

1200 - 40w = 120 + 50w

Group variables

Group our variables -40w and 50w
subtract 50w from both sides

-40w + 1200 - 50w = 50w + 120 - 50w

Cancel 50w on the right side:

-90w + 1200 = 120

Divide each side by 1200

1200w
1200
=
  
-40
1200

Group constants

Group our constants 1200 and 120.
subtract 1200 from both sides

-90w + 1200 - 1200 = 120 - 1200

Cancel 1200 on the left side:

-90w = -1080

Divide each side of the equation by -90

-90w
-90
=
  
-1080
-90

w = 12

Final Answer

w=12
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