Question

3x+5/4x+2=3x+4/4x+7​

Answer 1

Step-by-step explanation:

3x+5 3x+4

-------- = -----------

4x+2 4x+7

or, (3x+5)(4x+7) = (3x+4)(4x+2)

or, 12x^ + 21x + 20x + 35 = 12x^ + 6x + 16x + 8

or, 12x^ + 41x + 35 = 12x^ + 22x + 8

or, 12x^ + 41x + 35 - 12x^ - 22x - 8 = 0

or, 19x - 27 = 0

or, 19x = 27

or, x = 27/19

or, x = 1.42105263157

Answer 2

3x+5/4x+2=3x+4/4x+7
=(3x+5)(4x+7)=(4x+2)(3x+4)
=(3x+5)4x+7=(4x+2)3x+4
=(3x(4x+7)+5(4x+7))=(4x(3x+4)+2(3x+4))
=(12x^2+21x+20x+35)=(12x^2+16x+6x+8)
=(12x^2+41x+35)=(12x^2+22x+8)
=12x^2+41x+35=12x^2+22x+8
=41x+35=22x+8
=41x-22x=8-35
=19x= -27
=x= -27/19
=x= -1.421