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

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

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

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

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

Combine like terms: 2 + 1 = 3
3 + -1x + 1x = 13(x + -1)

Combine like terms: -1x + 1x = 0
3 + 0 = 13(x + -1)
3 = 13(x + -1)

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

Solving
3 = -13 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
3 + -13x = -13 + 13x + -13x

Combine like terms: 13x + -13x = 0
3 + -13x = -13 + 0
3 + -13x = -13

Add '-3' to each side of the equation.
3 + -3 + -13x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = -13 + -3
-13x = -13 + -3

Combine like terms: -13 + -3 = -16
-13x = -16

Divide each side by '-13'.
x = 1.230769231

Simplifying
x = 1.230769231