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

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


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

Reorder the terms:
5(2 + w) + w = 3(w + -1) + 1
(2 * 5 + w * 5) + w = 3(w + -1) + 1
(10 + 5w) + w = 3(w + -1) + 1

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

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

Reorder the terms:
10 + 6w = -3 + 1 + 3w

Combine like terms: -3 + 1 = -2
10 + 6w = -2 + 3w

Solving
10 + 6w = -2 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
10 + 6w + -3w = -2 + 3w + -3w

Combine like terms: 6w + -3w = 3w
10 + 3w = -2 + 3w + -3w

Combine like terms: 3w + -3w = 0
10 + 3w = -2 + 0
10 + 3w = -2

Add '-10' to each side of the equation.
10 + -10 + 3w = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 3w = -2 + -10
3w = -2 + -10

Combine like terms: -2 + -10 = -12
3w = -12

Divide each side by '3'.
w = -4

Simplifying
w = -4

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