Question 114434
{{{3x-0.54=2(x-0.15)}}} Start with the given equation


{{{3x-0.54=2x-0.3}}} Distribute



{{{100(3x-0.54)=100(2x-0.3)}}} Multiply both sides by 100 to move the decimal on each number 2 times. This will make every number a whole number.


{{{300x-54=200x-30}}} Distribute and multiply


{{{300x=200x-30+54}}}Add 54 to both sides



{{{300x-200x=-30+54}}} Subtract 200x from both sides



{{{100x=-30+54}}} Combine like terms on the left side



{{{100x=24}}} Combine like terms on the right side



{{{x=(24)/(100)}}} Divide both sides by 100 to isolate x




{{{x=6/25}}} Reduce


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Answer:

So our answer is {{{x=6/25}}}  (which is approximately {{{x=0.24}}} in decimal form)