5w+4=8w-14

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Solution for 5w+4=8w-14 equation:


Simplifying
5w + 4 = 8w + -14

Reorder the terms:
4 + 5w = 8w + -14

Reorder the terms:
4 + 5w = -14 + 8w

Solving
4 + 5w = -14 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
4 + 5w + -8w = -14 + 8w + -8w

Combine like terms: 5w + -8w = -3w
4 + -3w = -14 + 8w + -8w

Combine like terms: 8w + -8w = 0
4 + -3w = -14 + 0
4 + -3w = -14

Add '-4' to each side of the equation.
4 + -4 + -3w = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -3w = -14 + -4
-3w = -14 + -4

Combine like terms: -14 + -4 = -18
-3w = -18

Divide each side by '-3'.
w = 6

Simplifying
w = 6

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