3(w*2)*4=5(w-1)+w

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Solution for 3(w*2)*4=5(w-1)+w equation:


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

Reorder the terms for easier multiplication:
3(2w) * 4 = 5(w + -1) + w

Remove parenthesis around (2w)
3 * 2w * 4 = 5(w + -1) + w

Reorder the terms for easier multiplication:
3 * 2 * 4w = 5(w + -1) + w

Multiply 3 * 2
6 * 4w = 5(w + -1) + w

Multiply 6 * 4
24w = 5(w + -1) + w

Reorder the terms:
24w = 5(-1 + w) + w
24w = (-1 * 5 + w * 5) + w
24w = (-5 + 5w) + w

Combine like terms: 5w + w = 6w
24w = -5 + 6w

Solving
24w = -5 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
24w + -6w = -5 + 6w + -6w

Combine like terms: 24w + -6w = 18w
18w = -5 + 6w + -6w

Combine like terms: 6w + -6w = 0
18w = -5 + 0
18w = -5

Divide each side by '18'.
w = -0.2777777778

Simplifying
w = -0.2777777778

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