2(x+3)+4(x+1)=5(x-1)+x+3

Solution for 2(x+3)+4(x+1)=5(x-1)+x+3 equation:

Simplifying
2(x + 3) + 4(x + 1) = 5(x + -1) + x + 3

Reorder the terms:
2(3 + x) + 4(x + 1) = 5(x + -1) + x + 3
(3 * 2 + x * 2) + 4(x + 1) = 5(x + -1) + x + 3
(6 + 2x) + 4(x + 1) = 5(x + -1) + x + 3

Reorder the terms:
6 + 2x + 4(1 + x) = 5(x + -1) + x + 3
6 + 2x + (1 * 4 + x * 4) = 5(x + -1) + x + 3
6 + 2x + (4 + 4x) = 5(x + -1) + x + 3

Reorder the terms:
6 + 4 + 2x + 4x = 5(x + -1) + x + 3

Combine like terms: 6 + 4 = 10
10 + 2x + 4x = 5(x + -1) + x + 3

Combine like terms: 2x + 4x = 6x
10 + 6x = 5(x + -1) + x + 3

Reorder the terms:
10 + 6x = 5(-1 + x) + x + 3
10 + 6x = (-1 * 5 + x * 5) + x + 3
10 + 6x = (-5 + 5x) + x + 3

Reorder the terms:
10 + 6x = -5 + 3 + 5x + x

Combine like terms: -5 + 3 = -2
10 + 6x = -2 + 5x + x

Combine like terms: 5x + x = 6x
10 + 6x = -2 + 6x

Add '-6x' to each side of the equation.
10 + 6x + -6x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 0 = -2 + 6x + -6x
10 = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 = -2 + 0
10 = -2

Solving
10 = -2

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.