3w+4=5w-8

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Solution for 3w+4=5w-8 equation:


Simplifying
3w + 4 = 5w + -8

Reorder the terms:
4 + 3w = 5w + -8

Reorder the terms:
4 + 3w = -8 + 5w

Solving
4 + 3w = -8 + 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.
4 + 3w + -5w = -8 + 5w + -5w

Combine like terms: 3w + -5w = -2w
4 + -2w = -8 + 5w + -5w

Combine like terms: 5w + -5w = 0
4 + -2w = -8 + 0
4 + -2w = -8

Add '-4' to each side of the equation.
4 + -4 + -2w = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -2w = -8 + -4
-2w = -8 + -4

Combine like terms: -8 + -4 = -12
-2w = -12

Divide each side by '-2'.
w = 6

Simplifying
w = 6

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