3(2w-4)+7w=14-w-6(2w+1)

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Solution for 3(2w-4)+7w=14-w-6(2w+1) equation:


Simplifying
3(2w + -4) + 7w = 14 + -1w + -6(2w + 1)

Reorder the terms:
3(-4 + 2w) + 7w = 14 + -1w + -6(2w + 1)
(-4 * 3 + 2w * 3) + 7w = 14 + -1w + -6(2w + 1)
(-12 + 6w) + 7w = 14 + -1w + -6(2w + 1)

Combine like terms: 6w + 7w = 13w
-12 + 13w = 14 + -1w + -6(2w + 1)

Reorder the terms:
-12 + 13w = 14 + -1w + -6(1 + 2w)
-12 + 13w = 14 + -1w + (1 * -6 + 2w * -6)
-12 + 13w = 14 + -1w + (-6 + -12w)

Reorder the terms:
-12 + 13w = 14 + -6 + -1w + -12w

Combine like terms: 14 + -6 = 8
-12 + 13w = 8 + -1w + -12w

Combine like terms: -1w + -12w = -13w
-12 + 13w = 8 + -13w

Solving
-12 + 13w = 8 + -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 + 13w + 13w = 8 + -13w + 13w

Combine like terms: 13w + 13w = 26w
-12 + 26w = 8 + -13w + 13w

Combine like terms: -13w + 13w = 0
-12 + 26w = 8 + 0
-12 + 26w = 8

Add '12' to each side of the equation.
-12 + 12 + 26w = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 26w = 8 + 12
26w = 8 + 12

Combine like terms: 8 + 12 = 20
26w = 20

Divide each side by '26'.
w = 0.7692307692

Simplifying
w = 0.7692307692

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