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

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


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

Reorder the terms:
-3(4 + w) = 3w + -8 + 2(5w + 2)
(4 * -3 + w * -3) = 3w + -8 + 2(5w + 2)
(-12 + -3w) = 3w + -8 + 2(5w + 2)

Reorder the terms:
-12 + -3w = 3w + -8 + 2(2 + 5w)
-12 + -3w = 3w + -8 + (2 * 2 + 5w * 2)
-12 + -3w = 3w + -8 + (4 + 10w)

Reorder the terms:
-12 + -3w = -8 + 4 + 3w + 10w

Combine like terms: -8 + 4 = -4
-12 + -3w = -4 + 3w + 10w

Combine like terms: 3w + 10w = 13w
-12 + -3w = -4 + 13w

Solving
-12 + -3w = -4 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-12 + -3w + -13w = -4 + 13w + -13w

Combine like terms: -3w + -13w = -16w
-12 + -16w = -4 + 13w + -13w

Combine like terms: 13w + -13w = 0
-12 + -16w = -4 + 0
-12 + -16w = -4

Add '12' to each side of the equation.
-12 + 12 + -16w = -4 + 12

Combine like terms: -12 + 12 = 0
0 + -16w = -4 + 12
-16w = -4 + 12

Combine like terms: -4 + 12 = 8
-16w = 8

Divide each side by '-16'.
w = -0.5

Simplifying
w = -0.5

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