6(5-w)=2(w+5)+4

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Solution for 6(5-w)=2(w+5)+4 equation:


Simplifying
6(5 + -1w) = 2(w + 5) + 4
(5 * 6 + -1w * 6) = 2(w + 5) + 4
(30 + -6w) = 2(w + 5) + 4

Reorder the terms:
30 + -6w = 2(5 + w) + 4
30 + -6w = (5 * 2 + w * 2) + 4
30 + -6w = (10 + 2w) + 4

Reorder the terms:
30 + -6w = 10 + 4 + 2w

Combine like terms: 10 + 4 = 14
30 + -6w = 14 + 2w

Solving
30 + -6w = 14 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
30 + -6w + -2w = 14 + 2w + -2w

Combine like terms: -6w + -2w = -8w
30 + -8w = 14 + 2w + -2w

Combine like terms: 2w + -2w = 0
30 + -8w = 14 + 0
30 + -8w = 14

Add '-30' to each side of the equation.
30 + -30 + -8w = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -8w = 14 + -30
-8w = 14 + -30

Combine like terms: 14 + -30 = -16
-8w = -16

Divide each side by '-8'.
w = 2

Simplifying
w = 2

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