<PRE><B>Question 62367</B>
The idea is to get the variables onto one side of the equation.
10x + 14 = 5x + 24  Subtract 5x from both sides of the equation.
10x - 5x + 14 = 5x - 5x + 24  Simplifying this, you get:
5x + 14 = 24  Now subtract 14 from both sides.
5x = 10  Finally, divide both sides by 5.
x = 2

Check:
Substitute the solution, x = 2 into the original equation:
10(2) + 14 = 5(2) + 24
20 + 14 = 10 + 24
34 = 34</PRE>