2(n-5)=4(9n+6)

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Solution for 2(n-5)=4(9n+6) equation: 


Simplifying
2(n + -5) = 4(9n + 6)

Reorder the terms:
2(-5 + n) = 4(9n + 6)
(-5 * 2 + n * 2) = 4(9n + 6)
(-10 + 2n) = 4(9n + 6)

Reorder the terms:
-10 + 2n = 4(6 + 9n)
-10 + 2n = (6 * 4 + 9n * 4)
-10 + 2n = (24 + 36n)

Solving
-10 + 2n = 24 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
-10 + 2n + -36n = 24 + 36n + -36n

Combine like terms: 2n + -36n = -34n
-10 + -34n = 24 + 36n + -36n

Combine like terms: 36n + -36n = 0
-10 + -34n = 24 + 0
-10 + -34n = 24

Add '10' to each side of the equation.
-10 + 10 + -34n = 24 + 10

Combine like terms: -10 + 10 = 0
0 + -34n = 24 + 10
-34n = 24 + 10

Combine like terms: 24 + 10 = 34
-34n = 34

Divide each side by '-34'.
n = -1

Simplifying
n = -1

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