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Thank you, Roman, for providing students with the full details; it always helps them to explain it further. We, as educators, sometimes forget that our students--as well as teachers in other disciplines--don't have the same background of knowledge that we have, in their heads.

Hi Michael, I am not a math teacher, but I like playing with problems.  Here are a few more steps that may make it easier for you to understand: Original Question: 1/3 (x-6) = 2/3   Step 1: Multiply both sides of the equation by 3            ...

Lisa,  An easier way to do this is to say: Step 1.  60.20/86 = ?      Result 1 = 70% Step 2.  100% - 70% = ?      Result 2 = 30% This involves only two steps!  Try it later!

Original question:  6x + 13 = 4x + 21  Step 1: Subtract 21 from both sides:    6x -21 + 13 = 4x +21 - 21        Result 1: 6x - 8 = 4x Step 2:  Subtract 6x from both sides:   6x - 6x - 8 = 4x - 6x      ...

Hi Aliyah, I did it differently, but achieved the same result.  3x + 5 < 2x -1 original equation Step A.   3x + 5 -5 < 2x -1 -5  subtract 5 from each side (-5 + -1 = -6)      Result A.   3x < 2x - 6  result of subtracting...

Dear Luis and daughter: I agree with both of the other contributors.  However, an easier way to come up with the same answer below.  It involves multiplication and adding. 6/5 + 1/4 = N Multiply the numerator of the first number (6) times the denominator of the second number...