3(w+2)+4=5(w-1)+9

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Solution for 3(w+2)+4=5(w-1)+9 equation:


Simplifying
3(w + 2) + 4 = 5(w + -1) + 9

Reorder the terms:
3(2 + w) + 4 = 5(w + -1) + 9
(2 * 3 + w * 3) + 4 = 5(w + -1) + 9
(6 + 3w) + 4 = 5(w + -1) + 9

Reorder the terms:
6 + 4 + 3w = 5(w + -1) + 9

Combine like terms: 6 + 4 = 10
10 + 3w = 5(w + -1) + 9

Reorder the terms:
10 + 3w = 5(-1 + w) + 9
10 + 3w = (-1 * 5 + w * 5) + 9
10 + 3w = (-5 + 5w) + 9

Reorder the terms:
10 + 3w = -5 + 9 + 5w

Combine like terms: -5 + 9 = 4
10 + 3w = 4 + 5w

Solving
10 + 3w = 4 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
10 + 3w + -5w = 4 + 5w + -5w

Combine like terms: 3w + -5w = -2w
10 + -2w = 4 + 5w + -5w

Combine like terms: 5w + -5w = 0
10 + -2w = 4 + 0
10 + -2w = 4

Add '-10' to each side of the equation.
10 + -10 + -2w = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2w = 4 + -10
-2w = 4 + -10

Combine like terms: 4 + -10 = -6
-2w = -6

Divide each side by '-2'.
w = 3

Simplifying
w = 3

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