Question 555078
{{{x-3(x-2)=7x-1(2x+5)}}} Start with the given equation.



{{{x-3x+6=7x-2x-5}}} Distribute.



{{{-2x+6=7x-2x-5}}} Combine like terms on the left side.



{{{-2x+6=5x-5}}} Combine like terms on the right side.



{{{-2x=5x-5-6}}} Subtract {{{6}}} from both sides.



{{{-2x-5x=-5-6}}} Subtract {{{5x}}} from both sides.



{{{-7x=-5-6}}} Combine like terms on the left side.



{{{-7x=-11}}} Combine like terms on the right side.



{{{x=(-11)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}.



{{{x=11/7}}} Reduce.



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Answer:


So the solution is {{{x=11/7}}} 


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