3w+7=5w-9

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


Simplifying
3w + 7 = 5w + -9

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

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

Solving
7 + 3w = -9 + 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.
7 + 3w + -5w = -9 + 5w + -5w

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

Combine like terms: 5w + -5w = 0
7 + -2w = -9 + 0
7 + -2w = -9

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

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

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

Divide each side by '-2'.
w = 8

Simplifying
w = 8

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