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

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


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

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

Combine like terms: 5 + 8 = 13
13 + -2n = 3(n + 2)

Reorder the terms:
13 + -2n = 3(2 + n)
13 + -2n = (2 * 3 + n * 3)
13 + -2n = (6 + 3n)

Solving
13 + -2n = 6 + 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.
13 + -2n + -3n = 6 + 3n + -3n

Combine like terms: -2n + -3n = -5n
13 + -5n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
13 + -5n = 6 + 0
13 + -5n = 6

Add '-13' to each side of the equation.
13 + -13 + -5n = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -5n = 6 + -13
-5n = 6 + -13

Combine like terms: 6 + -13 = -7
-5n = -7

Divide each side by '-5'.
n = 1.4

Simplifying
n = 1.4

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