3(w+1)=14-5(w+3)

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Solution for 3(w+1)=14-5(w+3) equation:


Simplifying
3(w + 1) = 14 + -5(w + 3)

Reorder the terms:
3(1 + w) = 14 + -5(w + 3)
(1 * 3 + w * 3) = 14 + -5(w + 3)
(3 + 3w) = 14 + -5(w + 3)

Reorder the terms:
3 + 3w = 14 + -5(3 + w)
3 + 3w = 14 + (3 * -5 + w * -5)
3 + 3w = 14 + (-15 + -5w)

Combine like terms: 14 + -15 = -1
3 + 3w = -1 + -5w

Solving
3 + 3w = -1 + -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.
3 + 3w + 5w = -1 + -5w + 5w

Combine like terms: 3w + 5w = 8w
3 + 8w = -1 + -5w + 5w

Combine like terms: -5w + 5w = 0
3 + 8w = -1 + 0
3 + 8w = -1

Add '-3' to each side of the equation.
3 + -3 + 8w = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 8w = -1 + -3
8w = -1 + -3

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

Divide each side by '8'.
w = -0.5

Simplifying
w = -0.5

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