If you're talking the equation [tex]\frac{5x-2}{3} =6[/tex], then:
[tex]\frac{5x-2}{3} =6[/tex]
- multiply [tex]3[/tex] onto both sides.
[tex]5x-2=18[/tex]
- add [tex]2[/tex] to both sides.
[tex]5x=20[/tex]
[tex]x=4[/tex]
If you're talking about the equation [tex]5x-\frac{2}{3} =6[/tex], then:
[tex]5x-\frac{2}{3} =6[/tex]
- add [tex]\frac{2}{3}[/tex] to each side
[tex]5x = 6+\frac{2}{3}[/tex]
- divide both sides by [tex]5[/tex].
[tex]x=\frac{6}{5} +\frac{2}{15}[/tex]
- find the common denominator of [tex]\frac{6}{5}[/tex] and [tex]\frac{2}{15}[/tex]. In this case its [tex]15[/tex], so multiply both the numerator and denominator of [tex]\frac{6}{5}[/tex] by [tex]3[/tex].
[tex]x=\frac{18}{15} +\frac{2}{15}[/tex]
- Now that there is a common denominator, add the two terms together.
[tex]x=\frac{20}{15} = \frac{4}{3} = 1\frac{1}{3}[/tex]
