8-2(n-4)=3(n-2)-5

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


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

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

Combine like terms: 8 + 8 = 16
16 + -2n = 3(n + -2) + -5

Reorder the terms:
16 + -2n = 3(-2 + n) + -5
16 + -2n = (-2 * 3 + n * 3) + -5
16 + -2n = (-6 + 3n) + -5

Reorder the terms:
16 + -2n = -6 + -5 + 3n

Combine like terms: -6 + -5 = -11
16 + -2n = -11 + 3n

Solving
16 + -2n = -11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
16 + -2n + -3n = -11 + 3n + -3n

Combine like terms: -2n + -3n = -5n
16 + -5n = -11 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -5n = -11 + 0
16 + -5n = -11

Add '-16' to each side of the equation.
16 + -16 + -5n = -11 + -16

Combine like terms: 16 + -16 = 0
0 + -5n = -11 + -16
-5n = -11 + -16

Combine like terms: -11 + -16 = -27
-5n = -27

Divide each side by '-5'.
n = 5.4

Simplifying
n = 5.4

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