5*w+2=3*w-4

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Solution for 5*w+2=3*w-4 equation:


Simplifying
5w + 2 = 3w + -4

Reorder the terms:
2 + 5w = 3w + -4

Reorder the terms:
2 + 5w = -4 + 3w

Solving
2 + 5w = -4 + 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.
2 + 5w + -3w = -4 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
2 + 2w = -4 + 0
2 + 2w = -4

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

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

Combine like terms: -4 + -2 = -6
2w = -6

Divide each side by '2'.
w = -3

Simplifying
w = -3

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