Solve for the variable. (2)/(3)(5-a)=2 a= square

To solve for the variable \( a \), we start with the given equation:<br /><br />\[<br />\frac{2}{3}(5 - a) = 2<br />\]<br /><br />First, we eliminate the fraction by multiplying both sides of the equation by 3:<br /><br />\[<br />3 \cdot \frac{2}{3}(5 - a) = 3 \cdot 2<br />\]<br /><br />This simplifies to:<br /><br />\[<br />2(5 - a) = 6<br />\]<br /><br />Next, we distribute the 2 on the left side:<br /><br />\[<br />10 - 2a = 6<br />\]<br /><br />Now, we isolate the term with \( a \) by subtracting 10 from both sides:<br /><br />\[<br />-2a = 6 - 10<br />\]<br /><br />This simplifies to:<br /><br />\[<br />-2a = -4<br />\]<br /><br />Finally, we solve for \( a \) by dividing both sides by -2:<br /><br />\[<br />a = \frac{-4}{-2}<br />\]<br /><br />This gives us:<br /><br />\[<br />a = 2<br />\]<br /><br />Thus, the solution is:<br /><br />\[<br />a = 2<br />\]