Question

Solve:- 2x-3/5x-4=2x+1/5x+20​

Answer 1

Answer:

$x = 2$

Step-by-step explanation:

$\frac{2x - 3}{5x - 4} = \frac{2x + 1}{5x + 20} \\ cross \: mutiply \\ (2x - 3)(5x + 20) = (2x + 1)(5x - 4) \\ 2x(5x + 20) - 3(5x + 20) = 2x(5x - 4) + 1(5x - 4) \\ 10 {x}^{2} + 40x - 15x - 60 = 10 {x}^{2} - 8x + 5x - 4 \\ 10 {x}^{2} + 25x - 60= 10 {x}^{2} - 3x - 4 \\ 10 {x}^{2} - 10 {x}^{2} + 25x + 3x - 60 + 4 = 0 \\ 28x - 56 = 0 \\ 28x = 56 \\ x = \frac{56}{28} \\ x = 2$

Answer 2

x=2

Step-by-step explanation:

Given 2x-3/5x-4=2x+1/5x+20

First cross multiply 2x-3(5x+20)=5x-4(2x+1)

10x^2-15x+40x-60=10x^2-8x+5x-4

10x^2+25x-60=10x^2-3x-4

25x-60=10x^2-10x^2-3x-4

25x-60=-3x-4

25x+3x=-4+60

28x=56

x=56/28

x=2

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