2w-4=-3(w-2)

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Solution for 2w-4=-3(w-2) equation:


Simplifying
2w + -4 = -3(w + -2)

Reorder the terms:
-4 + 2w = -3(w + -2)

Reorder the terms:
-4 + 2w = -3(-2 + w)
-4 + 2w = (-2 * -3 + w * -3)
-4 + 2w = (6 + -3w)

Solving
-4 + 2w = 6 + -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.
-4 + 2w + 3w = 6 + -3w + 3w

Combine like terms: 2w + 3w = 5w
-4 + 5w = 6 + -3w + 3w

Combine like terms: -3w + 3w = 0
-4 + 5w = 6 + 0
-4 + 5w = 6

Add '4' to each side of the equation.
-4 + 4 + 5w = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5w = 6 + 4
5w = 6 + 4

Combine like terms: 6 + 4 = 10
5w = 10

Divide each side by '5'.
w = 2

Simplifying
w = 2

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