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.
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 ...
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
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...