2(x+3)+xy=4-(x+13)+xy

Solution for 2(x+3)+xy=4-(x+13)+xy equation:

Simplifying
2(x + 3) + xy = 4 + -1(x + 13) + xy

Reorder the terms:
2(3 + x) + xy = 4 + -1(x + 13) + xy
(3 * 2 + x * 2) + xy = 4 + -1(x + 13) + xy
(6 + 2x) + xy = 4 + -1(x + 13) + xy

Reorder the terms:
6 + 2x + xy = 4 + -1(13 + x) + xy
6 + 2x + xy = 4 + (13 * -1 + x * -1) + xy
6 + 2x + xy = 4 + (-13 + -1x) + xy

Combine like terms: 4 + -13 = -9
6 + 2x + xy = -9 + -1x + xy

Add '-1xy' to each side of the equation.
6 + 2x + xy + -1xy = -9 + -1x + xy + -1xy

Combine like terms: xy + -1xy = 0
6 + 2x + 0 = -9 + -1x + xy + -1xy
6 + 2x = -9 + -1x + xy + -1xy

Combine like terms: xy + -1xy = 0
6 + 2x = -9 + -1x + 0
6 + 2x = -9 + -1x

Solving
6 + 2x = -9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 2x + x = -9 + -1x + x

Combine like terms: 2x + x = 3x
6 + 3x = -9 + -1x + x

Combine like terms: -1x + x = 0
6 + 3x = -9 + 0
6 + 3x = -9

Add '-6' to each side of the equation.
6 + -6 + 3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -9 + -6
3x = -9 + -6

Combine like terms: -9 + -6 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5