4t-6 = 24-t
We want only terms with letters on the left and terms without
letters on the right.
So we begin by getting rid of the letter term -t on the right.
So we add its opposite, +t, to both sides like this:
4t-6 = 24-t
+t +t <--adding opposite +t to both sides
------------
5t-6 = 24
Next we get rid of the term without a letter, -6, on the left.
So we add its opposite, +6, to both sides like this:
4t-6 = 24-t
+t +t
------------
5t-6 = 24
+6 +6 <--adding opposite +6 to both sides
-----------
5t = 30
Now that we have only one term with a letter on the
left and only one term without a letter on the right,
we are ready to get rid of the number 5, the
coefficient of the letter, by dividing:
4t-6 = 24-t
+t +t
------------
5t-6 = 24
+6 +6
-----------
5t = 30
<--dividing both sides by 5
<--canceling 5's on left, dividing on right
t = 6 <--that's the solution.
Now we check our solution by substituting (6) for t in the
original equation:
4t-6 = 24-t
4(6)-6 = 24-(6)
24-6 = 24-6
18 = 18
Since we get the same number on the left and right, we know that
the answer t = 6 is correct.
Edwin
