3(x+2)=4x-(x-6)

Solution for 3(x+2)=4x-(x-6) equation:

Simplifying
3(x + 2) = 4x + -1(x + -6)

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

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

Reorder the terms:
6 + 3x = 6 + 4x + -1x

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

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

Combine like terms: 6 + -6 = 0
0 + 3x = 6 + -6 + 3x
3x = 6 + -6 + 3x

Combine like terms: 6 + -6 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

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