5w-8=3w+14

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Solution for 5w-8=3w+14 equation:


Simplifying
5w + -8 = 3w + 14

Reorder the terms:
-8 + 5w = 3w + 14

Reorder the terms:
-8 + 5w = 14 + 3w

Solving
-8 + 5w = 14 + 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.
-8 + 5w + -3w = 14 + 3w + -3w

Combine like terms: 5w + -3w = 2w
-8 + 2w = 14 + 3w + -3w

Combine like terms: 3w + -3w = 0
-8 + 2w = 14 + 0
-8 + 2w = 14

Add '8' to each side of the equation.
-8 + 8 + 2w = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2w = 14 + 8
2w = 14 + 8

Combine like terms: 14 + 8 = 22
2w = 22

Divide each side by '2'.
w = 11

Simplifying
w = 11

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