3(5+w)=2(6+w)

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


Simplifying
3(5 + w) = 2(6 + w)
(5 * 3 + w * 3) = 2(6 + w)
(15 + 3w) = 2(6 + w)
15 + 3w = (6 * 2 + w * 2)
15 + 3w = (12 + 2w)

Solving
15 + 3w = 12 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
15 + 3w + -2w = 12 + 2w + -2w

Combine like terms: 3w + -2w = 1w
15 + 1w = 12 + 2w + -2w

Combine like terms: 2w + -2w = 0
15 + 1w = 12 + 0
15 + 1w = 12

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

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

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

Divide each side by '1'.
w = -3

Simplifying
w = -3

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