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

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

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

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

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

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

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

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

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

Solving
-6x = 4n

Solving for variable 'x'.

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

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

Simplifying
x = -0.6666666667n