Question

Help solve for x 3x/4-7/2=21/8

Answer 1

`x = (49)/(6)`

Explanation:

given

`(3x)/(4) - (7)/(2) = (21)/(8)`

find the L.C.M

L.C.M for 2,4 and 8=8

multiply through by the L.C.M

thus

`8 * (3x)/(4) - 8 * (7)/(2) = 8 * (21)/(8)`

then cancel out the ones which are divisible to get

`2(3x) - 4(7) = 21`

`6x - 28 = 21`

making x the subject

`6x = 21 + 28`

`6x = 49`

dividing through by 6 to get x

`(6x)/(6) = (49)/(6)`

`x = (49)/(6)`