2(5n-11)+15=3(n-7)-7

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Solution for 2(5n-11)+15=3(n-7)-7 equation: 


Simplifying
2(5n + -11) + 15 = 3(n + -7) + -7

Reorder the terms:
2(-11 + 5n) + 15 = 3(n + -7) + -7
(-11 * 2 + 5n * 2) + 15 = 3(n + -7) + -7
(-22 + 10n) + 15 = 3(n + -7) + -7

Reorder the terms:
-22 + 15 + 10n = 3(n + -7) + -7

Combine like terms: -22 + 15 = -7
-7 + 10n = 3(n + -7) + -7

Reorder the terms:
-7 + 10n = 3(-7 + n) + -7
-7 + 10n = (-7 * 3 + n * 3) + -7
-7 + 10n = (-21 + 3n) + -7

Reorder the terms:
-7 + 10n = -21 + -7 + 3n

Combine like terms: -21 + -7 = -28
-7 + 10n = -28 + 3n

Solving
-7 + 10n = -28 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-7 + 10n + -3n = -28 + 3n + -3n

Combine like terms: 10n + -3n = 7n
-7 + 7n = -28 + 3n + -3n

Combine like terms: 3n + -3n = 0
-7 + 7n = -28 + 0
-7 + 7n = -28

Add '7' to each side of the equation.
-7 + 7 + 7n = -28 + 7

Combine like terms: -7 + 7 = 0
0 + 7n = -28 + 7
7n = -28 + 7

Combine like terms: -28 + 7 = -21
7n = -21

Divide each side by '7'.
n = -3

Simplifying
n = -3

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