Question 197283


{{{1.2x-2.4=1.5x+3}}} Start with the given equation.



{{{10(1.2x-2.4)=10(1.5x+3)}}} Multiply both sides by 10 to clear out the decimals (ie make every number a whole number).



{{{12x-24=15x+30}}} Distribute and multiply.



{{{12x=15x+30+24}}} Add {{{24}}} to both sides.



{{{12x-15x=30+24}}} Subtract {{{15x}}} from both sides.



{{{-3x=30+24}}} Combine like terms on the left side.



{{{-3x=54}}} Combine like terms on the right side.



{{{x=(54)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=-18}}} Reduce.



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Answer:


So the solution is {{{x=-18}}}