5(w+4)-3(w+2)=3(w+3)-(w-5)

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Solution for 5(w+4)-3(w+2)=3(w+3)-(w-5) equation: 


Simplifying
5(w + 4) + -3(w + 2) = 3(w + 3) + -1(w + -5)

Reorder the terms:
5(4 + w) + -3(w + 2) = 3(w + 3) + -1(w + -5)
(4 * 5 + w * 5) + -3(w + 2) = 3(w + 3) + -1(w + -5)
(20 + 5w) + -3(w + 2) = 3(w + 3) + -1(w + -5)

Reorder the terms:
20 + 5w + -3(2 + w) = 3(w + 3) + -1(w + -5)
20 + 5w + (2 * -3 + w * -3) = 3(w + 3) + -1(w + -5)
20 + 5w + (-6 + -3w) = 3(w + 3) + -1(w + -5)

Reorder the terms:
20 + -6 + 5w + -3w = 3(w + 3) + -1(w + -5)

Combine like terms: 20 + -6 = 14
14 + 5w + -3w = 3(w + 3) + -1(w + -5)

Combine like terms: 5w + -3w = 2w
14 + 2w = 3(w + 3) + -1(w + -5)

Reorder the terms:
14 + 2w = 3(3 + w) + -1(w + -5)
14 + 2w = (3 * 3 + w * 3) + -1(w + -5)
14 + 2w = (9 + 3w) + -1(w + -5)

Reorder the terms:
14 + 2w = 9 + 3w + -1(-5 + w)
14 + 2w = 9 + 3w + (-5 * -1 + w * -1)
14 + 2w = 9 + 3w + (5 + -1w)

Reorder the terms:
14 + 2w = 9 + 5 + 3w + -1w

Combine like terms: 9 + 5 = 14
14 + 2w = 14 + 3w + -1w

Combine like terms: 3w + -1w = 2w
14 + 2w = 14 + 2w

Add '-14' to each side of the equation.
14 + -14 + 2w = 14 + -14 + 2w

Combine like terms: 14 + -14 = 0
0 + 2w = 14 + -14 + 2w
2w = 14 + -14 + 2w

Combine like terms: 14 + -14 = 0
2w = 0 + 2w
2w = 2w

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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