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

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


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

Reorder the terms:
3(-5 + w) = 2(2 + w)
(-5 * 3 + w * 3) = 2(2 + w)
(-15 + 3w) = 2(2 + w)
-15 + 3w = (2 * 2 + w * 2)
-15 + 3w = (4 + 2w)

Solving
-15 + 3w = 4 + 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 = 4 + 2w + -2w

Combine like terms: 3w + -2w = 1w
-15 + 1w = 4 + 2w + -2w

Combine like terms: 2w + -2w = 0
-15 + 1w = 4 + 0
-15 + 1w = 4

Add '15' to each side of the equation.
-15 + 15 + 1w = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 1w = 4 + 15
1w = 4 + 15

Combine like terms: 4 + 15 = 19
1w = 19

Divide each side by '1'.
w = 19

Simplifying
w = 19

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