00:01
So we want to solve for our variable and want to check.
00:04
So we have 4x times x plus 2 minus x times 3 plus 4x, and we want to equal 2x plus 18.
00:13
So the first thing we need to do is we need to distribute.
00:17
So 4x times x, we're going to add those exponents so that turns into 4x squared.
00:22
And then 4x times 2 that will give us plus 8x.
00:27
Then we also need to distribute this negative 1x into this binomial here.
00:31
So negative 1 times 3 is negative 3.
00:35
Bring down that x.
00:36
And then negative 1x times 4.
00:40
Negative 1 times 4 is negative 4.
00:42
Then we need to add those exponents.
00:44
So 1 plus 1 is 2.
00:46
So that equal to 2x plus 18.
00:50
So now we need to combine like terms.
00:52
That means if they have the same degree, we need to combine their coefficients.
00:58
So this 4x squared here and this 4x squared here, we can combine their co -efficiency.
01:02
So 4 minus 4 gives us 0.
01:05
That means these cancel out because whenever we have zero as a coefficient, zero times anything is zero.
01:10
So that's just zero.
01:13
And these two have an understood exponent of 1...