7/2 + x = 1/4

Question

find a common denominator and multiply both sides by it to get rid of the fraction

Answer 1

Multiply both sides by 4, (Attn: LCD = 4)

4(7/2 + x) = 4(1/4)

Simplify,

14 + 4x = 1

Subtract 14 from both sides,

4x = 1-14 = -13

Divide both sides by 4,

x = -13/4

 

Answer 2

The lowest common multiple of 1/2 and of 1/4 is 4.

That is 2 * 2 = 4 and 1*4 = 4.

So multiply through by the lowest common multiple (LCM).

4*(7/2) + 4*x = 4*(1/4)
28/2 + 4x = 4/4
14 + 4x = 1
4x = -13
x=-13/4

Answer 3

move 7/2 :

x = 1/4 - 7/2

 = 1/4 - 2 *7/ 2*2

= -13/4