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

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


Simplifying
3(6 + w) = 2(5 + w)
(6 * 3 + w * 3) = 2(5 + w)
(18 + 3w) = 2(5 + w)
18 + 3w = (5 * 2 + w * 2)
18 + 3w = (10 + 2w)

Solving
18 + 3w = 10 + 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.
18 + 3w + -2w = 10 + 2w + -2w

Combine like terms: 3w + -2w = 1w
18 + 1w = 10 + 2w + -2w

Combine like terms: 2w + -2w = 0
18 + 1w = 10 + 0
18 + 1w = 10

Add '-18' to each side of the equation.
18 + -18 + 1w = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 1w = 10 + -18
1w = 10 + -18

Combine like terms: 10 + -18 = -8
1w = -8

Divide each side by '1'.
w = -8

Simplifying
w = -8

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