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

Simple and best practice solution for (x-2)(x+1)=(x+3)(x-1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


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

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

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

Multiply (-2 + x) * (1 + x)
(-2(1 + x) + x(1 + x)) = (x + 3)(x + -1)
((1 * -2 + x * -2) + x(1 + x)) = (x + 3)(x + -1)
((-2 + -2x) + x(1 + x)) = (x + 3)(x + -1)
(-2 + -2x + (1 * x + x * x)) = (x + 3)(x + -1)
(-2 + -2x + (1x + x2)) = (x + 3)(x + -1)

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

Reorder the terms:
-2 + -1x + x2 = (3 + x)(x + -1)

Reorder the terms:
-2 + -1x + x2 = (3 + x)(-1 + x)

Multiply (3 + x) * (-1 + x)
-2 + -1x + x2 = (3(-1 + x) + x(-1 + x))
-2 + -1x + x2 = ((-1 * 3 + x * 3) + x(-1 + x))
-2 + -1x + x2 = ((-3 + 3x) + x(-1 + x))
-2 + -1x + x2 = (-3 + 3x + (-1 * x + x * x))
-2 + -1x + x2 = (-3 + 3x + (-1x + x2))

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

Add '-1x2' to each side of the equation.
-2 + -1x + x2 + -1x2 = -3 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x + 0 = -3 + 2x + x2 + -1x2
-2 + -1x = -3 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x = -3 + 2x + 0
-2 + -1x = -3 + 2x

Solving
-2 + -1x = -3 + 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.
-2 + -1x + -2x = -3 + 2x + -2x

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

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

See similar equations:

| w-2=-7 | | n^2=50 | | 6+t=7 | | 7m=-14/3 | | n+1=-2 | | a+8=86/11 | | 6m=-27/5 | | 1/6t=1/12 | | 6(x+1)=3(x-2) | | 10+3m=4m+6m | | 31/4=w-1/4 | | -8+a=-7 | | d-4/5=-11/20 | | a/7=-3 | | 2x/5=x-3 | | m/4=5/7 | | -2/3w=-4/27 | | 9/3m=3m+4 | | -a=-1/3 | | t/-7=-2/3 | | x-1/2=-11/2 | | b+8=17 | | k+7=32/5 | | 19/12=w+1 | | -23/4=n+1/4 | | 4/9+m=85/9 | | x+9=109/12 | | 7/10+n=29/20 | | 9/10+n=7/5 | | d+9=59/6 | | 5/6k=5 | | n/7=-4/5 |

Equations solver categories