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

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

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

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

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

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

Combine like terms: -2 + -4 = -6
6 + 2x = -6 + 3x + -1x

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

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

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

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

Solving
6 = -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.