(2w+5)+(3w-7)=18

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Solution for (2w+5)+(3w-7)=18 equation:


Simplifying
(2w + 5) + (3w + -7) = 18

Reorder the terms:
(5 + 2w) + (3w + -7) = 18

Remove parenthesis around (5 + 2w)
5 + 2w + (3w + -7) = 18

Reorder the terms:
5 + 2w + (-7 + 3w) = 18

Remove parenthesis around (-7 + 3w)
5 + 2w + -7 + 3w = 18

Reorder the terms:
5 + -7 + 2w + 3w = 18

Combine like terms: 5 + -7 = -2
-2 + 2w + 3w = 18

Combine like terms: 2w + 3w = 5w
-2 + 5w = 18

Solving
-2 + 5w = 18

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 5w = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5w = 18 + 2
5w = 18 + 2

Combine like terms: 18 + 2 = 20
5w = 20

Divide each side by '5'.
w = 4

Simplifying
w = 4

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