Question 348061
{{{0.2x+3=0.4(x-1)}}} Start with the given equation.



{{{0.2x+3=0.4x-0.4}}} Distribute.



{{{10(0.2x+3)=10(0.4x-0.4)}}} Multiply both sides by 10 to clear out the decimals.



{{{2x+30=4x-4}}} Distribute and multiply.



{{{2x=4x-4-30}}} Subtract {{{30}}} from both sides.



{{{2x-4x=-4-30}}} Subtract {{{4x}}} from both sides.



{{{-2x=-4-30}}} Combine like terms on the left side.



{{{-2x=-34}}} Combine like terms on the right side.



{{{x=(-34)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=17}}} Reduce.



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Answer:


So the solution is {{{x=17}}} 



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