Question 219562


{{{0.24+0.18x=0.08x-0.06}}} Start with the given equation.



{{{100(0.24+0.18x)=100(0.08x-0.06)}}} Multiply both sides by 100 to clear out the decimals. Note: this is the same as moving the decimal point 2 spots to the right on every number.



{{{24+18x=8x-6}}} Distribute and multiply.



{{{18x=8x-6-24}}} Subtract {{{24}}} from both sides.



{{{18x-8x=-6-24}}} Subtract {{{8x}}} from both sides.



{{{10x=-6-24}}} Combine like terms on the left side.



{{{10x=-30}}} Combine like terms on the right side.



{{{x=(-30)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



{{{x=-3}}} Reduce.



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Answer:


So the answer is {{{x=-3}}}