3(x+1)+11=-2(x+13)

Solution for 3(x+1)+11=-2(x+13) equation:

Simplifying
3(x + 1) + 11 = -2(x + 13)

Reorder the terms:
3(1 + x) + 11 = -2(x + 13)
(1 * 3 + x * 3) + 11 = -2(x + 13)
(3 + 3x) + 11 = -2(x + 13)

Reorder the terms:
3 + 11 + 3x = -2(x + 13)

Combine like terms: 3 + 11 = 14
14 + 3x = -2(x + 13)

Reorder the terms:
14 + 3x = -2(13 + x)
14 + 3x = (13 * -2 + x * -2)
14 + 3x = (-26 + -2x)

Solving
14 + 3x = -26 + -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.
14 + 3x + 2x = -26 + -2x + 2x

Combine like terms: 3x + 2x = 5x
14 + 5x = -26 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 5x = -26 + 0
14 + 5x = -26

Add '-14' to each side of the equation.
14 + -14 + 5x = -26 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = -26 + -14
5x = -26 + -14

Combine like terms: -26 + -14 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8