5n-42-7n=4n+12

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Solution for 5n-42-7n=4n+12 equation:


Simplifying
5n + -42 + -7n = 4n + 12

Reorder the terms:
-42 + 5n + -7n = 4n + 12

Combine like terms: 5n + -7n = -2n
-42 + -2n = 4n + 12

Reorder the terms:
-42 + -2n = 12 + 4n

Solving
-42 + -2n = 12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-42 + -2n + -4n = 12 + 4n + -4n

Combine like terms: -2n + -4n = -6n
-42 + -6n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
-42 + -6n = 12 + 0
-42 + -6n = 12

Add '42' to each side of the equation.
-42 + 42 + -6n = 12 + 42

Combine like terms: -42 + 42 = 0
0 + -6n = 12 + 42
-6n = 12 + 42

Combine like terms: 12 + 42 = 54
-6n = 54

Divide each side by '-6'.
n = -9

Simplifying
n = -9

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