Question 736383
<b>SOLUTION:<b/>

This is a matter of simple cross multiplication as follows:

(1) Multiply the numerator on the left by the denominator on the right. And the denominator on the left by the numerator on the right. Like this:

{{{5/4t}}}={{{7/5(t-2)}}}
{{{5*(5t-2) = 7*(4t)}}}

(2) Distribute the constant terms
{{{25t-10 = 28t}}}

(3) Isolate <b>t</b> on one side of the equation
{{{-3t = 10}}}
<b>{{{t=-10/3}}}</b>