Question

simplify 5 x minus 2 equals to 3 X + 4​

Answer 1

Given the,

\dfrac{x+3}{x+2}=\dfrac{3x-7}{2x-3}

We need to calculate the value of x

Solve the give equation using factorization

\dfrac{x+3}{x+2}=\dfrac{3x-7}{2x-3}

Firstly, we simplify the equation

(x+3)\times(2x-3)=(3x-7)\times(x+2)

2x^2-3x+6x-9=3x^2+6x-7x-14

2x^2+3x-9=3x^2-x-14

x^2-4x-5=0

Now, we simplify by the factorization

x^2-x(5-1)-5=0

x^2-5x+x-5=0

x(x-5)+1(x-5)=0

(x+1)(x-5)=0

x=-1

x =5

Answer 2

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