4(5-w)=2(2w-3)

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Solution for 4(5-w)=2(2w-3) equation:


Simplifying
4(5 + -1w) = 2(2w + -3)
(5 * 4 + -1w * 4) = 2(2w + -3)
(20 + -4w) = 2(2w + -3)

Reorder the terms:
20 + -4w = 2(-3 + 2w)
20 + -4w = (-3 * 2 + 2w * 2)
20 + -4w = (-6 + 4w)

Solving
20 + -4w = -6 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
20 + -4w + -4w = -6 + 4w + -4w

Combine like terms: -4w + -4w = -8w
20 + -8w = -6 + 4w + -4w

Combine like terms: 4w + -4w = 0
20 + -8w = -6 + 0
20 + -8w = -6

Add '-20' to each side of the equation.
20 + -20 + -8w = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -8w = -6 + -20
-8w = -6 + -20

Combine like terms: -6 + -20 = -26
-8w = -26

Divide each side by '-8'.
w = 3.25

Simplifying
w = 3.25

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