6(2n-1)=4n-5(n+3)

Solution for 6(2n-1)=4n-5(n+3) equation:

Simplifying
6(2n + -1) = 4n + -5(n + 3)

Reorder the terms:
6(-1 + 2n) = 4n + -5(n + 3)
(-1 * 6 + 2n * 6) = 4n + -5(n + 3)
(-6 + 12n) = 4n + -5(n + 3)

Reorder the terms:
-6 + 12n = 4n + -5(3 + n)
-6 + 12n = 4n + (3 * -5 + n * -5)
-6 + 12n = 4n + (-15 + -5n)

Reorder the terms:
-6 + 12n = -15 + 4n + -5n

Combine like terms: 4n + -5n = -1n
-6 + 12n = -15 + -1n

Solving
-6 + 12n = -15 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-6 + 12n + n = -15 + -1n + n

Combine like terms: 12n + n = 13n
-6 + 13n = -15 + -1n + n

Combine like terms: -1n + n = 0
-6 + 13n = -15 + 0
-6 + 13n = -15

Add '6' to each side of the equation.
-6 + 6 + 13n = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 13n = -15 + 6
13n = -15 + 6

Combine like terms: -15 + 6 = -9
13n = -9

Divide each side by '13'.
n = -0.6923076923

Simplifying
n = -0.6923076923