20-5(2n-4)=4(n+1)-6

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Solution for 20-5(2n-4)=4(n+1)-6 equation: 


Simplifying
20 + -5(2n + -4) = 4(n + 1) + -6

Reorder the terms:
20 + -5(-4 + 2n) = 4(n + 1) + -6
20 + (-4 * -5 + 2n * -5) = 4(n + 1) + -6
20 + (20 + -10n) = 4(n + 1) + -6

Combine like terms: 20 + 20 = 40
40 + -10n = 4(n + 1) + -6

Reorder the terms:
40 + -10n = 4(1 + n) + -6
40 + -10n = (1 * 4 + n * 4) + -6
40 + -10n = (4 + 4n) + -6

Reorder the terms:
40 + -10n = 4 + -6 + 4n

Combine like terms: 4 + -6 = -2
40 + -10n = -2 + 4n

Solving
40 + -10n = -2 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
40 + -10n + -4n = -2 + 4n + -4n

Combine like terms: -10n + -4n = -14n
40 + -14n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
40 + -14n = -2 + 0
40 + -14n = -2

Add '-40' to each side of the equation.
40 + -40 + -14n = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -14n = -2 + -40
-14n = -2 + -40

Combine like terms: -2 + -40 = -42
-14n = -42

Divide each side by '-14'.
n = 3

Simplifying
n = 3

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