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

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


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

Reorder the terms:
2 + 3w = 5(w + 3) + 5

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

Reorder the terms:
2 + 3w = 15 + 5 + 5w

Combine like terms: 15 + 5 = 20
2 + 3w = 20 + 5w

Solving
2 + 3w = 20 + 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.
2 + 3w + -5w = 20 + 5w + -5w

Combine like terms: 3w + -5w = -2w
2 + -2w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
2 + -2w = 20 + 0
2 + -2w = 20

Add '-2' to each side of the equation.
2 + -2 + -2w = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -2w = 20 + -2
-2w = 20 + -2

Combine like terms: 20 + -2 = 18
-2w = 18

Divide each side by '-2'.
w = -9

Simplifying
w = -9

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