3(2w-11)=5(6-3w)

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Solution for 3(2w-11)=5(6-3w) equation:


Simplifying
3(2w + -11) = 5(6 + -3w)

Reorder the terms:
3(-11 + 2w) = 5(6 + -3w)
(-11 * 3 + 2w * 3) = 5(6 + -3w)
(-33 + 6w) = 5(6 + -3w)
-33 + 6w = (6 * 5 + -3w * 5)
-33 + 6w = (30 + -15w)

Solving
-33 + 6w = 30 + -15w

Solving for variable 'w'.

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

Add '15w' to each side of the equation.
-33 + 6w + 15w = 30 + -15w + 15w

Combine like terms: 6w + 15w = 21w
-33 + 21w = 30 + -15w + 15w

Combine like terms: -15w + 15w = 0
-33 + 21w = 30 + 0
-33 + 21w = 30

Add '33' to each side of the equation.
-33 + 33 + 21w = 30 + 33

Combine like terms: -33 + 33 = 0
0 + 21w = 30 + 33
21w = 30 + 33

Combine like terms: 30 + 33 = 63
21w = 63

Divide each side by '21'.
w = 3

Simplifying
w = 3

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