3(1+5n)-1=2(1+8n)

Solution for 3(1+5n)-1=2(1+8n) equation:

Simplifying
3(1 + 5n) + -1 = 2(1 + 8n)
(1 * 3 + 5n * 3) + -1 = 2(1 + 8n)
(3 + 15n) + -1 = 2(1 + 8n)

Reorder the terms:
3 + -1 + 15n = 2(1 + 8n)

Combine like terms: 3 + -1 = 2
2 + 15n = 2(1 + 8n)
2 + 15n = (1 * 2 + 8n * 2)
2 + 15n = (2 + 16n)

Add '-2' to each side of the equation.
2 + -2 + 15n = 2 + -2 + 16n

Combine like terms: 2 + -2 = 0
0 + 15n = 2 + -2 + 16n
15n = 2 + -2 + 16n

Combine like terms: 2 + -2 = 0
15n = 0 + 16n
15n = 16n

Solving
15n = 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
15n + -16n = 16n + -16n

Combine like terms: 15n + -16n = -1n
-1n = 16n + -16n

Combine like terms: 16n + -16n = 0
-1n = 0

Divide each side by '-1'.
n = 0

Simplifying
n = 0