Question 199592
# 1


{{{3-(3/2)x=8-2x}}} Start with the given equation.



{{{2(3)-cross(2)((3/cross(2))x)=2(8)-2(2x)}}} Multiply EVERY term by the LCD {{{2}}} to clear any fractions.



{{{6-3x=16-4x}}} Multiply.



{{{-3x=16-4x-6}}} Subtract {{{6}}} from both sides.



{{{-3x+4x=16-6}}} Add {{{4x}}} to both sides.



{{{x=16-6}}} Combine like terms on the left side.



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



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Answer:


So the solution is {{{x=10}}} 




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# 2


{{{6-(5/2)x=12+10x}}} Start with the given equation.



{{{2(6)-cross(2)((5/cross(2))x)=2(12)+2(10x)}}} Multiply EVERY term by the LCD {{{2}}} to clear any fractions.



{{{12-5x=24+20x}}} Multiply.



{{{-5x=24+20x-12}}} Subtract {{{12}}} from both sides.



{{{-5x-20x=24-12}}} Subtract {{{20x}}} from both sides.



{{{-25x=24-12}}} Combine like terms on the left side.



{{{-25x=12}}} Combine like terms on the right side.



{{{x=(12)/(-25)}}} Divide both sides by {{{-25}}} to isolate {{{x}}}.



{{{x=-12/25}}} Reduce.



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Answer:


So the solution is {{{x=-12/25}}} which in decimal form is {{{x=-0.48}}}. 



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# 3




{{{6+3x=18+15x}}} Start with the given equation.



{{{3x=18+15x-6}}} Subtract {{{6}}} from both sides.



{{{3x-15x=18-6}}} Subtract {{{15x}}} from both sides.



{{{-12x=18-6}}} Combine like terms on the left side.



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



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



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



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Answer:


So the solution is {{{x=-1}}}