3(2x+1)=-2(2n-1)

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

Simplifying
3(2x + 1) = -2(2n + -1)

Reorder the terms:
3(1 + 2x) = -2(2n + -1)
(1 * 3 + 2x * 3) = -2(2n + -1)
(3 + 6x) = -2(2n + -1)

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

Solving
3 + 6x = 2 + -4n

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 6x = 2 + -3 + -4n

Combine like terms: 3 + -3 = 0
0 + 6x = 2 + -3 + -4n
6x = 2 + -3 + -4n

Combine like terms: 2 + -3 = -1
6x = -1 + -4n

Divide each side by '6'.
x = -0.1666666667 + -0.6666666667n

Simplifying
x = -0.1666666667 + -0.6666666667n