2(n+4)-5(3n-7)=-113

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Solution for 2(n+4)-5(3n-7)=-113 equation:


Simplifying
2(n + 4) + -5(3n + -7) = -113

Reorder the terms:
2(4 + n) + -5(3n + -7) = -113
(4 * 2 + n * 2) + -5(3n + -7) = -113
(8 + 2n) + -5(3n + -7) = -113

Reorder the terms:
8 + 2n + -5(-7 + 3n) = -113
8 + 2n + (-7 * -5 + 3n * -5) = -113
8 + 2n + (35 + -15n) = -113

Reorder the terms:
8 + 35 + 2n + -15n = -113

Combine like terms: 8 + 35 = 43
43 + 2n + -15n = -113

Combine like terms: 2n + -15n = -13n
43 + -13n = -113

Solving
43 + -13n = -113

Solving for variable 'n'.

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

Add '-43' to each side of the equation.
43 + -43 + -13n = -113 + -43

Combine like terms: 43 + -43 = 0
0 + -13n = -113 + -43
-13n = -113 + -43

Combine like terms: -113 + -43 = -156
-13n = -156

Divide each side by '-13'.
n = 12

Simplifying
n = 12

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