help with this algebra fraction equation?

x/2 + 2/5 = 7/20 + x/4

multiply both sides by 4

2x + 8/5 = 28/20 + x

subtract x from both sides

x + 8/5 = 28/20

x + 32/20 = 28/20

subtract 32/20 from both sides

x = -4/20 = -1/5>>>>>>>>>>>>option b

because of the fact it quite is a situation the place fractions are being further at the same time, you first ought to locate a uncomplicated denominator. the uncomplicated denominator of four and x may well be 4x because of the fact thats the sole uncomplicated diverse of the two. once you alter the denominator of a million/4 to 4x you're multiplying the denominator with the aid of x so which you ought to try this to the numerator to boot. a million situations x equals x. so the 1st fraction is replaced to x/4x. to alter the denominator of a million/x to 4x you multiply the denominator with the aid of four so which you ought to additionally do this to the numerator. a million situations 4 is for consequently the 2nd fraction is 4/4x so your equation is now x/4x + 4/4x basically upload the numerators at the same time the suitable answer is (x+4)/4x