2(2n-5)=6n+8

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Solution for 2(2n-5)=6n+8 equation:


Simplifying
2(2n + -5) = 6n + 8

Reorder the terms:
2(-5 + 2n) = 6n + 8
(-5 * 2 + 2n * 2) = 6n + 8
(-10 + 4n) = 6n + 8

Reorder the terms:
-10 + 4n = 8 + 6n

Solving
-10 + 4n = 8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-10 + 4n + -6n = 8 + 6n + -6n

Combine like terms: 4n + -6n = -2n
-10 + -2n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-10 + -2n = 8 + 0
-10 + -2n = 8

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

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

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

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

Simplifying
n = -9

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