3(w+2)+4=5(w-1)+w

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Solution for 3(w+2)+4=5(w-1)+w equation: 


Simplifying
3(w + 2) + 4 = 5(w + -1) + w

Reorder the terms:
3(2 + w) + 4 = 5(w + -1) + w
(2 * 3 + w * 3) + 4 = 5(w + -1) + w
(6 + 3w) + 4 = 5(w + -1) + w

Reorder the terms:
6 + 4 + 3w = 5(w + -1) + w

Combine like terms: 6 + 4 = 10
10 + 3w = 5(w + -1) + w

Reorder the terms:
10 + 3w = 5(-1 + w) + w
10 + 3w = (-1 * 5 + w * 5) + w
10 + 3w = (-5 + 5w) + w

Combine like terms: 5w + w = 6w
10 + 3w = -5 + 6w

Solving
10 + 3w = -5 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
10 + 3w + -6w = -5 + 6w + -6w

Combine like terms: 3w + -6w = -3w
10 + -3w = -5 + 6w + -6w

Combine like terms: 6w + -6w = 0
10 + -3w = -5 + 0
10 + -3w = -5

Add '-10' to each side of the equation.
10 + -10 + -3w = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3w = -5 + -10
-3w = -5 + -10

Combine like terms: -5 + -10 = -15
-3w = -15

Divide each side by '-3'.
w = 5

Simplifying
w = 5

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