Question

Solve the Equation and check your solutions: W-2 +2w = 6 + 5w *Your answer

Answer 1

Answer: W = 4

The given equation is written as:

`w\text{ - 2 + 2w = 6 + 5w}`

The first step is to collect like terms:

`w\text{ + 2w - 5w = 6 + 2}`
`3w\text{ - 5w = 8}`
`-2w\text{ = 8}`

The next step is to divide both sides by 2:

`(-2w)/(2)=\text{ }(8)/(2)`
`-w\text{ = 4}`
`w\text{ = -4}`

To crosscheck:

Substitute w = -4 into the given equation:

`-4\text{ - 2 + 2(-4) = 6 + 5(-4)}`
`-4\text{ -2-8 = 6 - 20}`
`-14\text{ = -14}`

Since the Right Hand Side of the equation equals the Left Hand Side of the Equation, the answer, W = -4 is correct