2(n+5)-3(n-5)=2(n-6)-8(n+8)

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Solution for 2(n+5)-3(n-5)=2(n-6)-8(n+8) equation: 


Simplifying
2(n + 5) + -3(n + -5) = 2(n + -6) + -8(n + 8)

Reorder the terms:
2(5 + n) + -3(n + -5) = 2(n + -6) + -8(n + 8)
(5 * 2 + n * 2) + -3(n + -5) = 2(n + -6) + -8(n + 8)
(10 + 2n) + -3(n + -5) = 2(n + -6) + -8(n + 8)

Reorder the terms:
10 + 2n + -3(-5 + n) = 2(n + -6) + -8(n + 8)
10 + 2n + (-5 * -3 + n * -3) = 2(n + -6) + -8(n + 8)
10 + 2n + (15 + -3n) = 2(n + -6) + -8(n + 8)

Reorder the terms:
10 + 15 + 2n + -3n = 2(n + -6) + -8(n + 8)

Combine like terms: 10 + 15 = 25
25 + 2n + -3n = 2(n + -6) + -8(n + 8)

Combine like terms: 2n + -3n = -1n
25 + -1n = 2(n + -6) + -8(n + 8)

Reorder the terms:
25 + -1n = 2(-6 + n) + -8(n + 8)
25 + -1n = (-6 * 2 + n * 2) + -8(n + 8)
25 + -1n = (-12 + 2n) + -8(n + 8)

Reorder the terms:
25 + -1n = -12 + 2n + -8(8 + n)
25 + -1n = -12 + 2n + (8 * -8 + n * -8)
25 + -1n = -12 + 2n + (-64 + -8n)

Reorder the terms:
25 + -1n = -12 + -64 + 2n + -8n

Combine like terms: -12 + -64 = -76
25 + -1n = -76 + 2n + -8n

Combine like terms: 2n + -8n = -6n
25 + -1n = -76 + -6n

Solving
25 + -1n = -76 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
25 + -1n + 6n = -76 + -6n + 6n

Combine like terms: -1n + 6n = 5n
25 + 5n = -76 + -6n + 6n

Combine like terms: -6n + 6n = 0
25 + 5n = -76 + 0
25 + 5n = -76

Add '-25' to each side of the equation.
25 + -25 + 5n = -76 + -25

Combine like terms: 25 + -25 = 0
0 + 5n = -76 + -25
5n = -76 + -25

Combine like terms: -76 + -25 = -101
5n = -101

Divide each side by '5'.
n = -20.2

Simplifying
n = -20.2

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