Question 167796

{{{-9x+1.7=3x+2.9}}} Start with the given equation.



{{{10(-9x+1.7)=10(3x+2.9)}}} Multiply both sides by 10 to clear out the decimals.



{{{-90x+17=30x+29}}} Distribute and multiply.



{{{-90x=30x+29-17}}} Subtract {{{17}}} from both sides.



{{{-90x-30x=29-17}}} Subtract {{{30x}}} from both sides.



{{{-120x=29-17}}} Combine like terms on the left side.



{{{-120x=12}}} Combine like terms on the right side.



{{{x=(12)/(-120)}}} Divide both sides by {{{-120}}} to isolate {{{x}}}.



{{{x=-1/10}}} Reduce.



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Answer:


So the answer is {{{x=-1/10}}} which in decimal form is to {{{x=-0.1}}}. 




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Alternative way



{{{-9x+1.7=3x+2.9}}} Start with the given equation.



{{{-9x=3x+2.9-1.7}}} Subtract {{{1.7}}} from both sides.



{{{-9x-3x=2.9-1.7}}} Subtract {{{3x}}} from both sides.



{{{-12x=2.9-1.7}}} Combine like terms on the left side.



{{{-12x=1.2}}} Combine like terms on the right side.



{{{x=(1.2)/(-12)}}} Divide both sides by -12 to isolate "x"



{{{x=-0.10}}} Divide.



So the answer is {{{x=-0.10}}} (which is the same as the previous answer)