2(w-1)+3(w-2)=2

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Solution for 2(w-1)+3(w-2)=2 equation: 


Simplifying
2(w + -1) + 3(w + -2) = 2

Reorder the terms:
2(-1 + w) + 3(w + -2) = 2
(-1 * 2 + w * 2) + 3(w + -2) = 2
(-2 + 2w) + 3(w + -2) = 2

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

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

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

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

Solving
-8 + 5w = 2

Solving for variable 'w'.

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

Add '8' to each side of the equation.
-8 + 8 + 5w = 2 + 8

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

Combine like terms: 2 + 8 = 10
5w = 10

Divide each side by '5'.
w = 2

Simplifying
w = 2

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