00:01
We're going to go ahead and solve the following equations.
00:04
The first one is 4x plus 5 equals 5x minus 7.
00:07
To solve this equation, we need all of our xs on one side and all of our numbers on the other.
00:12
I'm going to start by subtracting 4x from both sides.
00:15
I always like to subtract my little variable for my big variable to try to keep a positive.
00:20
So i have 5 equals 5x minus 4x is x minus 7, add 7 to both sides, and we find that x is 12.
00:30
In this next one, 3 times 3 minus 2x plus 2 times x minus 1 equals 10, we're going to start by distributing the 3 to both parts and the 2 to both parts.
00:41
I get 9 minus 6x plus 2x minus 2 equals 10.
00:46
Now we need to combine like terms.
00:48
I've got 9 minus 2, that's 7, negative 6x plus 2x is minus 4x equals 10.
00:56
All of my xs are already on one side, so i'm going to go ahead and move my numbers to the number.
01:00
Other side by subtracting 7 from both sides.
01:03
I get negative 4x equals 3.
01:07
Divide both sides by negative 4 and we find that x is negative 3 4th.
01:14
Next we have 4 over x minus 1 equals 5.
01:17
I'm actually going to go ahead and rewrite this one...