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

Simple and best practice solution for (x+1)(x-3)=(x+2)(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+1)(x-3)=(x+2)(x+1) equation: 


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

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

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

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

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

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

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

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

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

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

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

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

Solving
-3 + -2x = 2 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-5'.
x = -1

Simplifying
x = -1

See similar equations:

| 7x+14=6x+30 | | d+48= | | d+48=5 | | 5x+5=4x+32 | | 6y=144 | | a+1=0 | | 17G-10=14G+20 | | 12M-10=10M+10 | | t=2m+2v | | 7P-2=3P+2 | | 2(3r+4)-3(r+1)=11 | | 10M+45=15M | | x^2=42 | | 5y-3y=15 | | (7x-28)(28x-7)=0 | | 11P+3=8P+24 | | 60-3x=2x+5 | | 8X-1=15X-15 | | 6M-2=5M+2 | | 8+3x=32+x | | 0=x^2+4x-5 | | 5y-3x=15 | | -3+4v+8-3=3v+4-5 | | 3(1x-4)+6=5(1x-1)+1 | | 112=-8(p-6) | | y=0-2(x-2.5) | | 2(x-2)=45-5x | | 2x-6=90-10x | | a+(a-1)+2*(a+1)=49 | | -3=-6x^2-8x | | 9x+1=4x+51 | | 3x^2+48=24x |

Equations solver categories