Question

Solve Each Equation by first clearing the fractions or decimals
0.2(c-4)+1=0.15(c+2)
I Need to show all work. I Am Horrible At Math Can Someone Please Take Me Through The Steps to get Positive 2 For The Answer

Answer 1

first multiply both sides by 100, which is the same as moving the decimal two places to the left. you get
\[20(c-4)+100=15(c+2)\]

Answer 2

then remove the parentheses using the distributive law
you get
\[20c-80+100=15c+30\] and since \(100-80=20\) this becomes
\[20c+20=15c+30\]

Answer 3

subtract \(15c\) from both sides, gives
\[5c+20=30\]

Answer 4

subtract 20 from both sides gives
\[5c=10\] then divide both sides by \(5\) and get
\[c=10\div 5=0\]