Question 395337
{{{(3/4)x-3/2=9/5-(1/10)x}}} Start with the given equation.



{{{20((3/cross(4))x-3/cross(2))=20(9/cross(5)-(1/cross(10))x)}}} Multiply both sides by the LCD {{{20}}} to clear any fractions.



{{{15x-30=36-2x}}} Distribute and multiply.



{{{15x=36-2x+30}}} Add {{{30}}} to both sides.



{{{15x+2x=36+30}}} Add {{{2x}}} to both sides.



{{{17x=36+30}}} Combine like terms on the left side.



{{{17x=66}}} Combine like terms on the right side.



{{{x=(66)/(17)}}} Divide both sides by {{{17}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=66/17}}}