3w+2(w+1)=12+w

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Solution for 3w+2(w+1)=12+w equation: 


Simplifying
3w + 2(w + 1) = 12 + w

Reorder the terms:
3w + 2(1 + w) = 12 + w
3w + (1 * 2 + w * 2) = 12 + w
3w + (2 + 2w) = 12 + w

Reorder the terms:
2 + 3w + 2w = 12 + w

Combine like terms: 3w + 2w = 5w
2 + 5w = 12 + w

Solving
2 + 5w = 12 + w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-1w' to each side of the equation.
2 + 5w + -1w = 12 + w + -1w

Combine like terms: 5w + -1w = 4w
2 + 4w = 12 + w + -1w

Combine like terms: w + -1w = 0
2 + 4w = 12 + 0
2 + 4w = 12

Add '-2' to each side of the equation.
2 + -2 + 4w = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 4w = 12 + -2
4w = 12 + -2

Combine like terms: 12 + -2 = 10
4w = 10

Divide each side by '4'.
w = 2.5

Simplifying
w = 2.5

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