2x 3 x 1 2 2x 3 divided by 5 plus x 1 divided by 4 e

2x + 3 x + 1

^{_____ + ______ = 2 2x + 3 divided by 5 plus x + 1 divided by 4 equals 2. FInd x.}

^{5 4}

(2x + 3)/5 + (x + 1)/4 = 2

LCM of 5 and 4 is 20

==> [4(2x +3) + 5(x + 1)]/20 = 2

==> (8x + 12 + 5x + 5) = 2(20)

==> (13x + 17) = 40

==> 13x = 40 - 17

==> 13x = 23

==> x = 23/13

Hence The value of x is 23/13