4(w+1)+w=5+(w-1)+9

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Solution for 4(w+1)+w=5+(w-1)+9 equation:


Simplifying
4(w + 1) + w = 5 + (w + -1) + 9

Reorder the terms:
4(1 + w) + w = 5 + (w + -1) + 9
(1 * 4 + w * 4) + w = 5 + (w + -1) + 9
(4 + 4w) + w = 5 + (w + -1) + 9

Combine like terms: 4w + w = 5w
4 + 5w = 5 + (w + -1) + 9

Reorder the terms:
4 + 5w = 5 + (-1 + w) + 9

Remove parenthesis around (-1 + w)
4 + 5w = 5 + -1 + w + 9

Reorder the terms:
4 + 5w = 5 + -1 + 9 + w

Combine like terms: 5 + -1 = 4
4 + 5w = 4 + 9 + w

Combine like terms: 4 + 9 = 13
4 + 5w = 13 + w

Solving
4 + 5w = 13 + 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.
4 + 5w + -1w = 13 + w + -1w

Combine like terms: 5w + -1w = 4w
4 + 4w = 13 + w + -1w

Combine like terms: w + -1w = 0
4 + 4w = 13 + 0
4 + 4w = 13

Add '-4' to each side of the equation.
4 + -4 + 4w = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 4w = 13 + -4
4w = 13 + -4

Combine like terms: 13 + -4 = 9
4w = 9

Divide each side by '4'.
w = 2.25

Simplifying
w = 2.25

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