2n+3(1+7n)=-5+8(1-2n)

Solution for 2n+3(1+7n)=-5+8(1-2n) equation:

Simplifying
2n + 3(1 + 7n) = -5 + 8(1 + -2n)
2n + (1 * 3 + 7n * 3) = -5 + 8(1 + -2n)
2n + (3 + 21n) = -5 + 8(1 + -2n)

Reorder the terms:
3 + 2n + 21n = -5 + 8(1 + -2n)

Combine like terms: 2n + 21n = 23n
3 + 23n = -5 + 8(1 + -2n)
3 + 23n = -5 + (1 * 8 + -2n * 8)
3 + 23n = -5 + (8 + -16n)

Combine like terms: -5 + 8 = 3
3 + 23n = 3 + -16n

Add '-3' to each side of the equation.
3 + -3 + 23n = 3 + -3 + -16n

Combine like terms: 3 + -3 = 0
0 + 23n = 3 + -3 + -16n
23n = 3 + -3 + -16n

Combine like terms: 3 + -3 = 0
23n = 0 + -16n
23n = -16n

Solving
23n = -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.
23n + 16n = -16n + 16n

Combine like terms: 23n + 16n = 39n
39n = -16n + 16n

Combine like terms: -16n + 16n = 0
39n = 0

Divide each side by '39'.
n = 0

Simplifying
n = 0