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

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

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

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

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

Add '-2n' to each side of the equation.
1 + 2n + -2n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 0 = -6 + 2n + -2n
1 = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 = -6 + 0
1 = -6

Solving
1 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.