-(3w+4)+5(w-2)-3(6w-8)=10

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Solution for -(3w+4)+5(w-2)-3(6w-8)=10 equation:


Simplifying
-1(3w + 4) + 5(w + -2) + -3(6w + -8) = 10

Reorder the terms:
-1(4 + 3w) + 5(w + -2) + -3(6w + -8) = 10
(4 * -1 + 3w * -1) + 5(w + -2) + -3(6w + -8) = 10
(-4 + -3w) + 5(w + -2) + -3(6w + -8) = 10

Reorder the terms:
-4 + -3w + 5(-2 + w) + -3(6w + -8) = 10
-4 + -3w + (-2 * 5 + w * 5) + -3(6w + -8) = 10
-4 + -3w + (-10 + 5w) + -3(6w + -8) = 10

Reorder the terms:
-4 + -3w + -10 + 5w + -3(-8 + 6w) = 10
-4 + -3w + -10 + 5w + (-8 * -3 + 6w * -3) = 10
-4 + -3w + -10 + 5w + (24 + -18w) = 10

Reorder the terms:
-4 + -10 + 24 + -3w + 5w + -18w = 10

Combine like terms: -4 + -10 = -14
-14 + 24 + -3w + 5w + -18w = 10

Combine like terms: -14 + 24 = 10
10 + -3w + 5w + -18w = 10

Combine like terms: -3w + 5w = 2w
10 + 2w + -18w = 10

Combine like terms: 2w + -18w = -16w
10 + -16w = 10

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

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

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

Solving
-16w = 0

Solving for variable 'w'.

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

Divide each side by '-16'.
w = 0

Simplifying
w = 0

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