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

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


Simplifying
3(3w + -2) = 5(3 + -1w)

Reorder the terms:
3(-2 + 3w) = 5(3 + -1w)
(-2 * 3 + 3w * 3) = 5(3 + -1w)
(-6 + 9w) = 5(3 + -1w)
-6 + 9w = (3 * 5 + -1w * 5)
-6 + 9w = (15 + -5w)

Solving
-6 + 9w = 15 + -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.
-6 + 9w + 5w = 15 + -5w + 5w

Combine like terms: 9w + 5w = 14w
-6 + 14w = 15 + -5w + 5w

Combine like terms: -5w + 5w = 0
-6 + 14w = 15 + 0
-6 + 14w = 15

Add '6' to each side of the equation.
-6 + 6 + 14w = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 14w = 15 + 6
14w = 15 + 6

Combine like terms: 15 + 6 = 21
14w = 21

Divide each side by '14'.
w = 1.5

Simplifying
w = 1.5

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