3(w+2)+2=4(w-1)+10

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Solution for 3(w+2)+2=4(w-1)+10 equation: 


Simplifying
3(w + 2) + 2 = 4(w + -1) + 10

Reorder the terms:
3(2 + w) + 2 = 4(w + -1) + 10
(2 * 3 + w * 3) + 2 = 4(w + -1) + 10
(6 + 3w) + 2 = 4(w + -1) + 10

Reorder the terms:
6 + 2 + 3w = 4(w + -1) + 10

Combine like terms: 6 + 2 = 8
8 + 3w = 4(w + -1) + 10

Reorder the terms:
8 + 3w = 4(-1 + w) + 10
8 + 3w = (-1 * 4 + w * 4) + 10
8 + 3w = (-4 + 4w) + 10

Reorder the terms:
8 + 3w = -4 + 10 + 4w

Combine like terms: -4 + 10 = 6
8 + 3w = 6 + 4w

Solving
8 + 3w = 6 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
8 + 3w + -4w = 6 + 4w + -4w

Combine like terms: 3w + -4w = -1w
8 + -1w = 6 + 4w + -4w

Combine like terms: 4w + -4w = 0
8 + -1w = 6 + 0
8 + -1w = 6

Add '-8' to each side of the equation.
8 + -8 + -1w = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 6 + -8
-1w = 6 + -8

Combine like terms: 6 + -8 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

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