12-4(w+1)=6w-3(8+w)

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Solution for 12-4(w+1)=6w-3(8+w) equation:


Simplifying
12 + -4(w + 1) = 6w + -3(8 + w)

Reorder the terms:
12 + -4(1 + w) = 6w + -3(8 + w)
12 + (1 * -4 + w * -4) = 6w + -3(8 + w)
12 + (-4 + -4w) = 6w + -3(8 + w)

Combine like terms: 12 + -4 = 8
8 + -4w = 6w + -3(8 + w)
8 + -4w = 6w + (8 * -3 + w * -3)
8 + -4w = 6w + (-24 + -3w)

Reorder the terms:
8 + -4w = -24 + 6w + -3w

Combine like terms: 6w + -3w = 3w
8 + -4w = -24 + 3w

Solving
8 + -4w = -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.
8 + -4w + -3w = -24 + 3w + -3w

Combine like terms: -4w + -3w = -7w
8 + -7w = -24 + 3w + -3w

Combine like terms: 3w + -3w = 0
8 + -7w = -24 + 0
8 + -7w = -24

Add '-8' to each side of the equation.
8 + -8 + -7w = -24 + -8

Combine like terms: 8 + -8 = 0
0 + -7w = -24 + -8
-7w = -24 + -8

Combine like terms: -24 + -8 = -32
-7w = -32

Divide each side by '-7'.
w = 4.571428571

Simplifying
w = 4.571428571

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