Answer:
1. Distribute the 9
2. Add 9 to both sides
3. Divide both sides by 27
4. Write the fraction in lowest terms
Step-by-step explanation:
Generally for these problems we would first distribute the 9 and that is indeed going to be the first step in this equation, although one thing to note is it's really not necessary, since you could divide both sides by 9, and 0/9 is still 0, so it kind of simplifies the problem.
From that first step we would get:
[tex]27x-9=0[/tex]
From here we want to isolate the "x" variable, which we want to achieve by removing any constants on it's side, in this case -9, and then remove any coefficients in this case 27. We usually first start by removing any constants on the variables side which we can achieve by subtracting or adding a value, depending on the sign. The important thing to note is we want to do the inverse operation, essentially what cancels it out. So to cancel out minus 9 we simply add 9 to both sides to cancel out the minus 9 and to maintain equality.
[tex]27x=9[/tex]
Now from here we want to remove coefficients which we do by dividing, since the coefficient is simply multiplying, so the inverse is division. In this case we want to divide by 27, to cancel out the multiplication of 27.
[tex]x=\frac{9}{27}[/tex]
From here we can divide both the numerator and denominator by 9 to simplify the fraction.
[tex]x=\frac{1}{3}[/tex]
