n-2-7=-(6n-5)-5(n-2)

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Solution for n-2-7=-(6n-5)-5(n-2) equation:


Simplifying
n + -2 + -7 = -1(6n + -5) + -5(n + -2)

Reorder the terms:
-2 + -7 + n = -1(6n + -5) + -5(n + -2)

Combine like terms: -2 + -7 = -9
-9 + n = -1(6n + -5) + -5(n + -2)

Reorder the terms:
-9 + n = -1(-5 + 6n) + -5(n + -2)
-9 + n = (-5 * -1 + 6n * -1) + -5(n + -2)
-9 + n = (5 + -6n) + -5(n + -2)

Reorder the terms:
-9 + n = 5 + -6n + -5(-2 + n)
-9 + n = 5 + -6n + (-2 * -5 + n * -5)
-9 + n = 5 + -6n + (10 + -5n)

Reorder the terms:
-9 + n = 5 + 10 + -6n + -5n

Combine like terms: 5 + 10 = 15
-9 + n = 15 + -6n + -5n

Combine like terms: -6n + -5n = -11n
-9 + n = 15 + -11n

Solving
-9 + n = 15 + -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
-9 + n + 11n = 15 + -11n + 11n

Combine like terms: n + 11n = 12n
-9 + 12n = 15 + -11n + 11n

Combine like terms: -11n + 11n = 0
-9 + 12n = 15 + 0
-9 + 12n = 15

Add '9' to each side of the equation.
-9 + 9 + 12n = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 12n = 15 + 9
12n = 15 + 9

Combine like terms: 15 + 9 = 24
12n = 24

Divide each side by '12'.
n = 2

Simplifying
n = 2

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