2(n-3)=1-2n-7

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

Simplifying
2(n + -3) = 1 + -2n + -7

Reorder the terms:
2(-3 + n) = 1 + -2n + -7
(-3 * 2 + n * 2) = 1 + -2n + -7
(-6 + 2n) = 1 + -2n + -7

Reorder the terms:
-6 + 2n = 1 + -7 + -2n

Combine like terms: 1 + -7 = -6
-6 + 2n = -6 + -2n

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

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

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

Solving
2n = -2n

Solving for variable 'n'.

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

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

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

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

Divide each side by '4'.
n = 0

Simplifying
n = 0