Question 116672

{{{3x/2-2=7}}}...........{{{3x/2}}} we can write like {{{(3/2)x}}}
{{{(3/2)x-2=7}}}...........since you have a fraction {{{3x/2}}} on the left, first what you need is to eliminate denominator {{{2}}}

You can do it if you multiply by {{{2}}} all terms on both sides of equal sign.

{{{2(3/2)x - 2*2 = 7*2}}}............we can write this as:

{{{3x(2/2) - 2*2 = 7*2}}}

{{{3x - 4 = 14}}}.......move {{{-4}}} to the right; doing it, it will change a sign

{{{3x  = 14 + 4}}}

{{{3x  = 18}}}......now divide both sides by {{{3}}} in order to have {{{1x}}}

{{{3x/3 = 18/3}}}

{{{x = 6}}}


you can check your result if you plug in {{{x=6}}} in:

{{{3x/2-2=7}}}...........

{{{(3*6)/2 - 2 = 7}}}

{{{18/2 - 2 = 7}}}

{{{9 - 2 = 7}}}
{{{7 = 7}}}..... since left side of equal sign is same as the right side, it means {{{x=6}}} is your solution