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

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Solution for 4(w-3)-6(w+1)=4(3w+4)-2(8+6w) equation:


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

Reorder the terms:
4(-3 + w) + -6(w + 1) = 4(3w + 4) + -2(8 + 6w)
(-3 * 4 + w * 4) + -6(w + 1) = 4(3w + 4) + -2(8 + 6w)
(-12 + 4w) + -6(w + 1) = 4(3w + 4) + -2(8 + 6w)

Reorder the terms:
-12 + 4w + -6(1 + w) = 4(3w + 4) + -2(8 + 6w)
-12 + 4w + (1 * -6 + w * -6) = 4(3w + 4) + -2(8 + 6w)
-12 + 4w + (-6 + -6w) = 4(3w + 4) + -2(8 + 6w)

Reorder the terms:
-12 + -6 + 4w + -6w = 4(3w + 4) + -2(8 + 6w)

Combine like terms: -12 + -6 = -18
-18 + 4w + -6w = 4(3w + 4) + -2(8 + 6w)

Combine like terms: 4w + -6w = -2w
-18 + -2w = 4(3w + 4) + -2(8 + 6w)

Reorder the terms:
-18 + -2w = 4(4 + 3w) + -2(8 + 6w)
-18 + -2w = (4 * 4 + 3w * 4) + -2(8 + 6w)
-18 + -2w = (16 + 12w) + -2(8 + 6w)
-18 + -2w = 16 + 12w + (8 * -2 + 6w * -2)
-18 + -2w = 16 + 12w + (-16 + -12w)

Reorder the terms:
-18 + -2w = 16 + -16 + 12w + -12w

Combine like terms: 16 + -16 = 0
-18 + -2w = 0 + 12w + -12w
-18 + -2w = 12w + -12w

Combine like terms: 12w + -12w = 0
-18 + -2w = 0

Solving
-18 + -2w = 0

Solving for variable 'w'.

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

Add '18' to each side of the equation.
-18 + 18 + -2w = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -2w = 0 + 18
-2w = 0 + 18

Combine like terms: 0 + 18 = 18
-2w = 18

Divide each side by '-2'.
w = -9

Simplifying
w = -9

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