2w-(5-w)=13+2w

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Solution for 2w-(5-w)=13+2w equation:


Simplifying
2w + -1(5 + -1w) = 13 + 2w
2w + (5 * -1 + -1w * -1) = 13 + 2w
2w + (-5 + 1w) = 13 + 2w

Reorder the terms:
-5 + 2w + 1w = 13 + 2w

Combine like terms: 2w + 1w = 3w
-5 + 3w = 13 + 2w

Solving
-5 + 3w = 13 + 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.
-5 + 3w + -2w = 13 + 2w + -2w

Combine like terms: 3w + -2w = 1w
-5 + 1w = 13 + 2w + -2w

Combine like terms: 2w + -2w = 0
-5 + 1w = 13 + 0
-5 + 1w = 13

Add '5' to each side of the equation.
-5 + 5 + 1w = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 1w = 13 + 5
1w = 13 + 5

Combine like terms: 13 + 5 = 18
1w = 18

Divide each side by '1'.
w = 18

Simplifying
w = 18

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