4(3w+2)=2(5w+8)

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Solution for 4(3w+2)=2(5w+8) equation:


Simplifying
4(3w + 2) = 2(5w + 8)

Reorder the terms:
4(2 + 3w) = 2(5w + 8)
(2 * 4 + 3w * 4) = 2(5w + 8)
(8 + 12w) = 2(5w + 8)

Reorder the terms:
8 + 12w = 2(8 + 5w)
8 + 12w = (8 * 2 + 5w * 2)
8 + 12w = (16 + 10w)

Solving
8 + 12w = 16 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
8 + 12w + -10w = 16 + 10w + -10w

Combine like terms: 12w + -10w = 2w
8 + 2w = 16 + 10w + -10w

Combine like terms: 10w + -10w = 0
8 + 2w = 16 + 0
8 + 2w = 16

Add '-8' to each side of the equation.
8 + -8 + 2w = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 2w = 16 + -8
2w = 16 + -8

Combine like terms: 16 + -8 = 8
2w = 8

Divide each side by '2'.
w = 4

Simplifying
w = 4

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