8n-5=3(2n-3)

Solution for 8n-5=3(2n-3) equation:

Simplifying
8n + -5 = 3(2n + -3)

Reorder the terms:
-5 + 8n = 3(2n + -3)

Reorder the terms:
-5 + 8n = 3(-3 + 2n)
-5 + 8n = (-3 * 3 + 2n * 3)
-5 + 8n = (-9 + 6n)

Solving
-5 + 8n = -9 + 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.
-5 + 8n + -6n = -9 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-5 + 2n = -9 + 6n + -6n

Combine like terms: 6n + -6n = 0
-5 + 2n = -9 + 0
-5 + 2n = -9

Add '5' to each side of the equation.
-5 + 5 + 2n = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 2n = -9 + 5
2n = -9 + 5

Combine like terms: -9 + 5 = -4
2n = -4

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

Simplifying
n = -2