3w+14=5w+9

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Solution for 3w+14=5w+9 equation:


Simplifying
3w + 14 = 5w + 9

Reorder the terms:
14 + 3w = 5w + 9

Reorder the terms:
14 + 3w = 9 + 5w

Solving
14 + 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.
14 + 3w + -5w = 9 + 5w + -5w

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

Combine like terms: 5w + -5w = 0
14 + -2w = 9 + 0
14 + -2w = 9

Add '-14' to each side of the equation.
14 + -14 + -2w = 9 + -14

Combine like terms: 14 + -14 = 0
0 + -2w = 9 + -14
-2w = 9 + -14

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

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5

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