x^2+2x+1=2x+2

Solution for x^2+2x+1=2x+2 equation:

Simplifying
x2 + 2x + 1 = 2x + 2

Reorder the terms:
1 + 2x + x2 = 2x + 2

Reorder the terms:
1 + 2x + x2 = 2 + 2x

Add '-2x' to each side of the equation.
1 + 2x + -2x + x2 = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 0 + x2 = 2 + 2x + -2x
1 + x2 = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + x2 = 2 + 0
1 + x2 = 2

Solving
1 + x2 = 2

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x2 = 2 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 2 + -1
x2 = 2 + -1

Combine like terms: 2 + -1 = 1
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}