(10n+7)-(12n-8)=x

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Solution for (10n+7)-(12n-8)=x equation:


Simplifying
(10n + 7) + -1(12n + -8) = x

Reorder the terms:
(7 + 10n) + -1(12n + -8) = x

Remove parenthesis around (7 + 10n)
7 + 10n + -1(12n + -8) = x

Reorder the terms:
7 + 10n + -1(-8 + 12n) = x
7 + 10n + (-8 * -1 + 12n * -1) = x
7 + 10n + (8 + -12n) = x

Reorder the terms:
7 + 8 + 10n + -12n = x

Combine like terms: 7 + 8 = 15
15 + 10n + -12n = x

Combine like terms: 10n + -12n = -2n
15 + -2n = x

Solving
15 + -2n = x

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + -2n = -15 + x

Combine like terms: 15 + -15 = 0
0 + -2n = -15 + x
-2n = -15 + x

Divide each side by '-2'.
n = 7.5 + -0.5x

Simplifying
n = 7.5 + -0.5x

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