2(w-3)+8=2-3w

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Solution for 2(w-3)+8=2-3w equation:


Simplifying
2(w + -3) + 8 = 2 + -3w

Reorder the terms:
2(-3 + w) + 8 = 2 + -3w
(-3 * 2 + w * 2) + 8 = 2 + -3w
(-6 + 2w) + 8 = 2 + -3w

Reorder the terms:
-6 + 8 + 2w = 2 + -3w

Combine like terms: -6 + 8 = 2
2 + 2w = 2 + -3w

Add '-2' to each side of the equation.
2 + -2 + 2w = 2 + -2 + -3w

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

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

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

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

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

Divide each side by '5'.
w = 0

Simplifying
w = 0

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