Question 502941
{{{4t+14=6t/5+7}}} Start with the given equation.



{{{5(4t+14)=5(6t/cross(5)+7)}}} Multiply both sides by the LCD {{{5}}} to clear any fractions.



{{{20t+70=6t+35}}} Distribute and multiply.



{{{20t=6t+35-70}}} Subtract {{{70}}} from both sides.



{{{20t-6t=35-70}}} Subtract {{{6t}}} from both sides.



{{{14t=35-70}}} Combine like terms on the left side.



{{{14t=-35}}} Combine like terms on the right side.



{{{t=(-35)/(14)}}} Divide both sides by {{{14}}} to isolate {{{t}}}.



{{{t=-5/2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{t=-5/2}}}