Question

(x-2) (x+1) =(x-1) (x+3)​

Answer 1

Answer:

x=1

Step-by-step explanation:

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

x² -2x -x +2 = x² -x +3x -3

x²-3x +2 = x² +2x -3

x²- x² -3x -2x +2 +3 =0

5-5x=0

5(1-x) =0

1-x =0

1 = x

Feel free to leave any doubts regarding this answer in the comments. Also, if you find this answer useful do mark this as the brainliest answer.

Answer 2

The value of x is $\frac{1}{3}$.

Step-by-step explanation:

We are given,

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

• To solve this equation first of all we have to do multiplication on both sides.

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

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

$x*x +x*1-2*x-2*1=x*x+x*3-1*x-1*3$

$x^{2} +x-2x-2=x^{2} +3x-x-3$

• Now solve equations on both sides

$-x-2=2x-3$

Take $-x$ to the R.H.S and -3 to L.H.S.

$-2+3=2x+x$

$1=3x$

$x=\frac{1}{3}$

We get $x=\frac{1}{3}$ as the answer of this question.