-(n-2)+12=3-10(1-2n)

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Solution for -(n-2)+12=3-10(1-2n) equation: 


Simplifying
-1(n + -2) + 12 = 3 + -10(1 + -2n)

Reorder the terms:
-1(-2 + n) + 12 = 3 + -10(1 + -2n)
(-2 * -1 + n * -1) + 12 = 3 + -10(1 + -2n)
(2 + -1n) + 12 = 3 + -10(1 + -2n)

Reorder the terms:
2 + 12 + -1n = 3 + -10(1 + -2n)

Combine like terms: 2 + 12 = 14
14 + -1n = 3 + -10(1 + -2n)
14 + -1n = 3 + (1 * -10 + -2n * -10)
14 + -1n = 3 + (-10 + 20n)

Combine like terms: 3 + -10 = -7
14 + -1n = -7 + 20n

Solving
14 + -1n = -7 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
14 + -1n + -20n = -7 + 20n + -20n

Combine like terms: -1n + -20n = -21n
14 + -21n = -7 + 20n + -20n

Combine like terms: 20n + -20n = 0
14 + -21n = -7 + 0
14 + -21n = -7

Add '-14' to each side of the equation.
14 + -14 + -21n = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -21n = -7 + -14
-21n = -7 + -14

Combine like terms: -7 + -14 = -21
-21n = -21

Divide each side by '-21'.
n = 1

Simplifying
n = 1

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