3(w-4)=5w-16

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Solution for 3(w-4)=5w-16 equation:


Simplifying
3(w + -4) = 5w + -16

Reorder the terms:
3(-4 + w) = 5w + -16
(-4 * 3 + w * 3) = 5w + -16
(-12 + 3w) = 5w + -16

Reorder the terms:
-12 + 3w = -16 + 5w

Solving
-12 + 3w = -16 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-12 + 3w + -5w = -16 + 5w + -5w

Combine like terms: 3w + -5w = -2w
-12 + -2w = -16 + 5w + -5w

Combine like terms: 5w + -5w = 0
-12 + -2w = -16 + 0
-12 + -2w = -16

Add '12' to each side of the equation.
-12 + 12 + -2w = -16 + 12

Combine like terms: -12 + 12 = 0
0 + -2w = -16 + 12
-2w = -16 + 12

Combine like terms: -16 + 12 = -4
-2w = -4

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

Simplifying
w = 2

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