2(n-2)-3(n-5)=15

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Solution for 2(n-2)-3(n-5)=15 equation: 


Simplifying
2(n + -2) + -3(n + -5) = 15

Reorder the terms:
2(-2 + n) + -3(n + -5) = 15
(-2 * 2 + n * 2) + -3(n + -5) = 15
(-4 + 2n) + -3(n + -5) = 15

Reorder the terms:
-4 + 2n + -3(-5 + n) = 15
-4 + 2n + (-5 * -3 + n * -3) = 15
-4 + 2n + (15 + -3n) = 15

Reorder the terms:
-4 + 15 + 2n + -3n = 15

Combine like terms: -4 + 15 = 11
11 + 2n + -3n = 15

Combine like terms: 2n + -3n = -1n
11 + -1n = 15

Solving
11 + -1n = 15

Solving for variable 'n'.

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

Add '-11' to each side of the equation.
11 + -11 + -1n = 15 + -11

Combine like terms: 11 + -11 = 0
0 + -1n = 15 + -11
-1n = 15 + -11

Combine like terms: 15 + -11 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4

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