3(3w+5)=6(w-1)

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Solution for 3(3w+5)=6(w-1) equation:


Simplifying
3(3w + 5) = 6(w + -1)

Reorder the terms:
3(5 + 3w) = 6(w + -1)
(5 * 3 + 3w * 3) = 6(w + -1)
(15 + 9w) = 6(w + -1)

Reorder the terms:
15 + 9w = 6(-1 + w)
15 + 9w = (-1 * 6 + w * 6)
15 + 9w = (-6 + 6w)

Solving
15 + 9w = -6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
15 + 9w + -6w = -6 + 6w + -6w

Combine like terms: 9w + -6w = 3w
15 + 3w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
15 + 3w = -6 + 0
15 + 3w = -6

Add '-15' to each side of the equation.
15 + -15 + 3w = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 3w = -6 + -15
3w = -6 + -15

Combine like terms: -6 + -15 = -21
3w = -21

Divide each side by '3'.
w = -7

Simplifying
w = -7

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