(x+3)(x-1)=x+x+5

Solution for (x+3)(x-1)=x+x+5 equation:

Simplifying
(x + 3)(x + -1) = x + x + 5

Reorder the terms:
(3 + x)(x + -1) = x + x + 5

Reorder the terms:
(3 + x)(-1 + x) = x + x + 5

Multiply (3 + x) * (-1 + x)
(3(-1 + x) + x(-1 + x)) = x + x + 5
((-1 * 3 + x * 3) + x(-1 + x)) = x + x + 5
((-3 + 3x) + x(-1 + x)) = x + x + 5
(-3 + 3x + (-1 * x + x * x)) = x + x + 5
(-3 + 3x + (-1x + x2)) = x + x + 5

Combine like terms: 3x + -1x = 2x
(-3 + 2x + x2) = x + x + 5

Reorder the terms:
-3 + 2x + x2 = 5 + x + x

Combine like terms: x + x = 2x
-3 + 2x + x2 = 5 + 2x

Add '-2x' to each side of the equation.
-3 + 2x + -2x + x2 = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 0 + x2 = 5 + 2x + -2x
-3 + x2 = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + x2 = 5 + 0
-3 + x2 = 5

Solving
-3 + x2 = 5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 5 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 5 + 3
x2 = 5 + 3

Combine like terms: 5 + 3 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}