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

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


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

Reorder the terms:
5w + -9 + 2(5 + 3w) = -3(w + 5)
5w + -9 + (5 * 2 + 3w * 2) = -3(w + 5)
5w + -9 + (10 + 6w) = -3(w + 5)

Reorder the terms:
-9 + 10 + 5w + 6w = -3(w + 5)

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

Combine like terms: 5w + 6w = 11w
1 + 11w = -3(w + 5)

Reorder the terms:
1 + 11w = -3(5 + w)
1 + 11w = (5 * -3 + w * -3)
1 + 11w = (-15 + -3w)

Solving
1 + 11w = -15 + -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.
1 + 11w + 3w = -15 + -3w + 3w

Combine like terms: 11w + 3w = 14w
1 + 14w = -15 + -3w + 3w

Combine like terms: -3w + 3w = 0
1 + 14w = -15 + 0
1 + 14w = -15

Add '-1' to each side of the equation.
1 + -1 + 14w = -15 + -1

Combine like terms: 1 + -1 = 0
0 + 14w = -15 + -1
14w = -15 + -1

Combine like terms: -15 + -1 = -16
14w = -16

Divide each side by '14'.
w = -1.142857143

Simplifying
w = -1.142857143

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