6(n-2)=4(n+1)

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Solution for 6(n-2)=4(n+1) equation:


Simplifying
6(n + -2) = 4(n + 1)

Reorder the terms:
6(-2 + n) = 4(n + 1)
(-2 * 6 + n * 6) = 4(n + 1)
(-12 + 6n) = 4(n + 1)

Reorder the terms:
-12 + 6n = 4(1 + n)
-12 + 6n = (1 * 4 + n * 4)
-12 + 6n = (4 + 4n)

Solving
-12 + 6n = 4 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-12 + 6n + -4n = 4 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-12 + 2n = 4 + 4n + -4n

Combine like terms: 4n + -4n = 0
-12 + 2n = 4 + 0
-12 + 2n = 4

Add '12' to each side of the equation.
-12 + 12 + 2n = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 2n = 4 + 12
2n = 4 + 12

Combine like terms: 4 + 12 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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