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

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

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

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

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

Reorder the terms:
6 + 3x = -2x + 4(-5 + x)
6 + 3x = -2x + (-5 * 4 + x * 4)
6 + 3x = -2x + (-20 + 4x)

Reorder the terms:
6 + 3x = -20 + -2x + 4x

Combine like terms: -2x + 4x = 2x
6 + 3x = -20 + 2x

Solving
6 + 3x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = -20 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = -20 + 0
6 + 1x = -20

Add '-6' to each side of the equation.
6 + -6 + 1x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -20 + -6
1x = -20 + -6

Combine like terms: -20 + -6 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26