10n-9=7n-12

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Solution for 10n-9=7n-12 equation:


Simplifying
10n + -9 = 7n + -12

Reorder the terms:
-9 + 10n = 7n + -12

Reorder the terms:
-9 + 10n = -12 + 7n

Solving
-9 + 10n = -12 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-9 + 10n + -7n = -12 + 7n + -7n

Combine like terms: 10n + -7n = 3n
-9 + 3n = -12 + 7n + -7n

Combine like terms: 7n + -7n = 0
-9 + 3n = -12 + 0
-9 + 3n = -12

Add '9' to each side of the equation.
-9 + 9 + 3n = -12 + 9

Combine like terms: -9 + 9 = 0
0 + 3n = -12 + 9
3n = -12 + 9

Combine like terms: -12 + 9 = -3
3n = -3

Divide each side by '3'.
n = -1

Simplifying
n = -1

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