Solve (1/2)+(2/x)=(3/4)
find the common denominator by cross-multiplying
make each of the denominators equal to 4x
(1/2)(2x)+(2/x)(4) = (3/4)(x)
(2x/4x)+(8/4x)=(3x/4x)
lets place every thing on the same side of the equal sign and since the denominators are common, we can add the numerators.
(2x+8-3x)/4x=0
simplify and divide the numerator by the denominator
(8-x)/4x =0
(8/4x)-(x/4x)=0
cancel out:
2(x)-(1/4)=0
2-(x/4)=0
2=x/4
2*4= (x/4)*4
8=x