Answer:
[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]
Solution Steps:
______________________________
1.) Combine 6x and 1.5x:
- You combine since these are like terms.
Equation at the end of Step 1:
2.) Divide both sides by 7.5:
- [tex]7.5x[/tex] ÷ [tex]7.5=x[/tex]
- [tex]2[/tex] ÷ [tex]7.5=[/tex]
- We divide because we want to get x alone.
Equation at the end of Step 2:
- [tex]x=\frac{2}{7.5}[/tex]
3.) Expand the fraction by multiplying both numerator and the denominator by 10:
- [tex]2[/tex] × [tex]10=20[/tex]
- [tex]7.5[/tex] × [tex]10=75[/tex]
- We turned this into a fraction because we couldn't divide properly.
4.) Reduce the fraction to lowest terms by extracting and canceling out 5:
- [tex]20[/tex] ÷ [tex]5=4[/tex]
- [tex]75[/tex] ÷ [tex]5=15[/tex]
- This step just means divide the lowest amount possible, which in this case is 5.
______________________________
