Using the Distributive Property to Clear Fractions and Simplify

[keithusb]

Using the Distributive Property to Clear Fractions and Simplify:
Problem: 0.7(3x+6)=1.1-(x+2)
First attempt: 10[0.7(3x+6)+1.1-(x+2)]: 7(30x+60)=11-10x-20
210x+420=11-10x-20
210x+420=-10x-9
210x+429=-10x
210x+10x+429=0
220x=-429
x=-429
----
220
This is wrong because I distributed the 10 incorrectly to the first term. I, kid of, know why I should not have done so, but I would like more information on performing distributive functions on terms. Anyone have suggested links that I can visit for this information?

 

[pka]

Problem: 0.7(3x+6)=1.1-(x+2)
First attempt: 10[0.7(3x+6)+1.1-(x+2)]: 7(30x+60)=11-10x-20
210x+420=11-10x-20
210x+420=-10x-9
210x+429=-10x
210x+10x+429=0
220x=-429
x=-429
----
220

Your arithmetic is incorrect.

\(\displaystyle [10\{0.7(3x+6)\}]=7(3x+6)=21x+42\)