Posted by lizzy on Sunday, January 29, 2012 at 10:28am.
4x-15/2=1/2
2*1/2=1
4x-15=1
4x=1+15
4x= 16
x= 16/4
x= 4
4x - 15/2 = 1/2
first we transpose all terms with no variable x to the right side of equation. that is, we transpose - 15/2 to the right. note that when we transpose, we change the sign to its opposite. thus is becomes positive:
4x = 1/2 + 15/2
when adding fractions, we first check if their denominators are the same. if they are the same, we can readily add the numerators. thus,
4x = 16/2
4x = 8
to get x alone, we divide both sides by the numerical coefficient or the number before the variable x (which is 4). thus,
x = 8/4
x = 2
hope this helps~ :)