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

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


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

Reorder the terms:
2(-2 + 3w) = 5(4 + 2w)
(-2 * 2 + 3w * 2) = 5(4 + 2w)
(-4 + 6w) = 5(4 + 2w)
-4 + 6w = (4 * 5 + 2w * 5)
-4 + 6w = (20 + 10w)

Solving
-4 + 6w = 20 + 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.
-4 + 6w + -10w = 20 + 10w + -10w

Combine like terms: 6w + -10w = -4w
-4 + -4w = 20 + 10w + -10w

Combine like terms: 10w + -10w = 0
-4 + -4w = 20 + 0
-4 + -4w = 20

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

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

Combine like terms: 20 + 4 = 24
-4w = 24

Divide each side by '-4'.
w = -6

Simplifying
w = -6

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