3-2w=5(w-2)

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Solution for 3-2w=5(w-2) equation:


Simplifying
3 + -2w = 5(w + -2)

Reorder the terms:
3 + -2w = 5(-2 + w)
3 + -2w = (-2 * 5 + w * 5)
3 + -2w = (-10 + 5w)

Solving
3 + -2w = -10 + 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.
3 + -2w + -5w = -10 + 5w + -5w

Combine like terms: -2w + -5w = -7w
3 + -7w = -10 + 5w + -5w

Combine like terms: 5w + -5w = 0
3 + -7w = -10 + 0
3 + -7w = -10

Add '-3' to each side of the equation.
3 + -3 + -7w = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -7w = -10 + -3
-7w = -10 + -3

Combine like terms: -10 + -3 = -13
-7w = -13

Divide each side by '-7'.
w = 1.857142857

Simplifying
w = 1.857142857

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