2w-5=3w+9

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Solution for 2w-5=3w+9 equation:


Simplifying
2w + -5 = 3w + 9

Reorder the terms:
-5 + 2w = 3w + 9

Reorder the terms:
-5 + 2w = 9 + 3w

Solving
-5 + 2w = 9 + 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.
-5 + 2w + -3w = 9 + 3w + -3w

Combine like terms: 2w + -3w = -1w
-5 + -1w = 9 + 3w + -3w

Combine like terms: 3w + -3w = 0
-5 + -1w = 9 + 0
-5 + -1w = 9

Add '5' to each side of the equation.
-5 + 5 + -1w = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 9 + 5
-1w = 9 + 5

Combine like terms: 9 + 5 = 14
-1w = 14

Divide each side by '-1'.
w = -14

Simplifying
w = -14

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