2(n+6)-4(n+5)=10

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Solution for 2(n+6)-4(n+5)=10 equation:


Simplifying
2(n + 6) + -4(n + 5) = 10

Reorder the terms:
2(6 + n) + -4(n + 5) = 10
(6 * 2 + n * 2) + -4(n + 5) = 10
(12 + 2n) + -4(n + 5) = 10

Reorder the terms:
12 + 2n + -4(5 + n) = 10
12 + 2n + (5 * -4 + n * -4) = 10
12 + 2n + (-20 + -4n) = 10

Reorder the terms:
12 + -20 + 2n + -4n = 10

Combine like terms: 12 + -20 = -8
-8 + 2n + -4n = 10

Combine like terms: 2n + -4n = -2n
-8 + -2n = 10

Solving
-8 + -2n = 10

Solving for variable 'n'.

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

Add '8' to each side of the equation.
-8 + 8 + -2n = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -2n = 10 + 8
-2n = 10 + 8

Combine like terms: 10 + 8 = 18
-2n = 18

Divide each side by '-2'.
n = -9

Simplifying
n = -9

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