5w-9=3w+7

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Solution for 5w-9=3w+7 equation:


Simplifying
5w + -9 = 3w + 7

Reorder the terms:
-9 + 5w = 3w + 7

Reorder the terms:
-9 + 5w = 7 + 3w

Solving
-9 + 5w = 7 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-9 + 5w + -3w = 7 + 3w + -3w

Combine like terms: 5w + -3w = 2w
-9 + 2w = 7 + 3w + -3w

Combine like terms: 3w + -3w = 0
-9 + 2w = 7 + 0
-9 + 2w = 7

Add '9' to each side of the equation.
-9 + 9 + 2w = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 2w = 7 + 9
2w = 7 + 9

Combine like terms: 7 + 9 = 16
2w = 16

Divide each side by '2'.
w = 8

Simplifying
w = 8

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