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

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

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

Reorder the terms:
2(3 + 5n) = 4(2n + -1)
(3 * 2 + 5n * 2) = 4(2n + -1)
(6 + 10n) = 4(2n + -1)

Reorder the terms:
6 + 10n = 4(-1 + 2n)
6 + 10n = (-1 * 4 + 2n * 4)
6 + 10n = (-4 + 8n)

Solving
6 + 10n = -4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 10n + -8n = -4 + 8n + -8n

Combine like terms: 10n + -8n = 2n
6 + 2n = -4 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + 2n = -4 + 0
6 + 2n = -4

Add '-6' to each side of the equation.
6 + -6 + 2n = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -4 + -6
2n = -4 + -6

Combine like terms: -4 + -6 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5