OpenStudy (anonymous):

3/2x - 15 = -12 Solving Equations Containing Fractions

4 years ago
OpenStudy (anonymous):

x-=2

4 years ago
OpenStudy (anonymous):

how

4 years ago
OpenStudy (anonymous):

the latter

4 years ago
OpenStudy (anonymous):

no that is wrong is it $\frac{3}{2}x-15=-12$ like that?

4 years ago
OpenStudy (anonymous):

add 15 to both sides as a first step you get $\frac{3}{2}x=-12+15$ or $\frac{3}{2}x=3$

4 years ago
OpenStudy (anonymous):

then multiply both sides by the reciprocal of $$\frac{3}{2}$$ which is $$\frac{2}{3}$$

4 years ago
OpenStudy (anonymous):

you get $\frac{2}{3}\times \frac{3}{2}x=3\times \frac{2}{3}$ so $x=2$

4 years ago
OpenStudy (anonymous):

if you see a fraction in front of the $$x$$, for example if you see $\frac{3}{4}x=12$ the you always multiply by the reciprocal to get $$x$$ by itself in my example if $\frac{3}{4}x=12$ then $x=12\times \frac{4}{3}=4\times 4=16$

4 years ago
OpenStudy (anonymous):

thank you; that was very helpful

4 years ago
OpenStudy (anonymous):

thats what i figured but i wasn't sure

4 years ago