3(w+3)=9-4(5-2w)

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Solution for 3(w+3)=9-4(5-2w) equation:


Simplifying
3(w + 3) = 9 + -4(5 + -2w)

Reorder the terms:
3(3 + w) = 9 + -4(5 + -2w)
(3 * 3 + w * 3) = 9 + -4(5 + -2w)
(9 + 3w) = 9 + -4(5 + -2w)
9 + 3w = 9 + (5 * -4 + -2w * -4)
9 + 3w = 9 + (-20 + 8w)

Combine like terms: 9 + -20 = -11
9 + 3w = -11 + 8w

Solving
9 + 3w = -11 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
9 + 3w + -8w = -11 + 8w + -8w

Combine like terms: 3w + -8w = -5w
9 + -5w = -11 + 8w + -8w

Combine like terms: 8w + -8w = 0
9 + -5w = -11 + 0
9 + -5w = -11

Add '-9' to each side of the equation.
9 + -9 + -5w = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -5w = -11 + -9
-5w = -11 + -9

Combine like terms: -11 + -9 = -20
-5w = -20

Divide each side by '-5'.
w = 4

Simplifying
w = 4

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