2(x+3)=(x+7)+(x-1)

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

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

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

Reorder the terms:
6 + 2x = (7 + x) + (x + -1)

Remove parenthesis around (7 + x)
6 + 2x = 7 + x + (x + -1)

Reorder the terms:
6 + 2x = 7 + x + (-1 + x)

Remove parenthesis around (-1 + x)
6 + 2x = 7 + x + -1 + x

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

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

Combine like terms: x + x = 2x
6 + 2x = 6 + 2x

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

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

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

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

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.