2(2w-6)+2(w)=3(w+8)

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Solution for 2(2w-6)+2(w)=3(w+8) equation: 


Simplifying
2(2w + -6) + 2(w) = 3(w + 8)

Reorder the terms:
2(-6 + 2w) + 2(w) = 3(w + 8)
(-6 * 2 + 2w * 2) + 2(w) = 3(w + 8)
(-12 + 4w) + 2(w) = 3(w + 8)

Combine like terms: 4w + 2w = 6w
-12 + 6w = 3(w + 8)

Reorder the terms:
-12 + 6w = 3(8 + w)
-12 + 6w = (8 * 3 + w * 3)
-12 + 6w = (24 + 3w)

Solving
-12 + 6w = 24 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-12 + 6w + -3w = 24 + 3w + -3w

Combine like terms: 6w + -3w = 3w
-12 + 3w = 24 + 3w + -3w

Combine like terms: 3w + -3w = 0
-12 + 3w = 24 + 0
-12 + 3w = 24

Add '12' to each side of the equation.
-12 + 12 + 3w = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 3w = 24 + 12
3w = 24 + 12

Combine like terms: 24 + 12 = 36
3w = 36

Divide each side by '3'.
w = 12

Simplifying
w = 12

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