10-(2n-8)=5-3n

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Solution for 10-(2n-8)=5-3n equation: 


Simplifying
10 + -1(2n + -8) = 5 + -3n

Reorder the terms:
10 + -1(-8 + 2n) = 5 + -3n
10 + (-8 * -1 + 2n * -1) = 5 + -3n
10 + (8 + -2n) = 5 + -3n

Combine like terms: 10 + 8 = 18
18 + -2n = 5 + -3n

Solving
18 + -2n = 5 + -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.
18 + -2n + 3n = 5 + -3n + 3n

Combine like terms: -2n + 3n = 1n
18 + 1n = 5 + -3n + 3n

Combine like terms: -3n + 3n = 0
18 + 1n = 5 + 0
18 + 1n = 5

Add '-18' to each side of the equation.
18 + -18 + 1n = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 1n = 5 + -18
1n = 5 + -18

Combine like terms: 5 + -18 = -13
1n = -13

Divide each side by '1'.
n = -13

Simplifying
n = -13

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