The given equation is written as:
[tex]w\text{ - 2 + 2w = 6 + 5w}[/tex]The first step is to collect like terms:
[tex]w\text{ + 2w - 5w = 6 + 2}[/tex][tex]3w\text{ - 5w = 8}[/tex][tex]-2w\text{ = 8}[/tex]The next step is to divide both sides by 2:
[tex]\frac{-2w}{2}=\text{ }\frac{8}{2}[/tex][tex]-w\text{ = 4}[/tex][tex]w\text{ = -4}[/tex]To crosscheck:
Substitute w = -4 into the given equation:
[tex]-4\text{ - 2 + 2(-4) = 6 + 5(-4)}[/tex][tex]-4\text{ -2-8 = 6 - 20}[/tex][tex]-14\text{ = -14}[/tex]Since the Right Hand Side of the equation equals the Left Hand Side of the Equation, the answer, W = -4 is correct
