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

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


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

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

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

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

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

Reorder the terms:
1 + 9w = -3(5 + w)
1 + 9w = (5 * -3 + w * -3)
1 + 9w = (-15 + -3w)

Solving
1 + 9w = -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 + 9w + 3w = -15 + -3w + 3w

Combine like terms: 9w + 3w = 12w
1 + 12w = -15 + -3w + 3w

Combine like terms: -3w + 3w = 0
1 + 12w = -15 + 0
1 + 12w = -15

Add '-1' to each side of the equation.
1 + -1 + 12w = -15 + -1

Combine like terms: 1 + -1 = 0
0 + 12w = -15 + -1
12w = -15 + -1

Combine like terms: -15 + -1 = -16
12w = -16

Divide each side by '12'.
w = -1.333333333

Simplifying
w = -1.333333333

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