Question 620939
{{{3(x-1)-5x=12-(6x-7)}}} Start with the given equation.



{{{3x-3-5x=12-6x+7}}} Distribute.



{{{-2x-3=12-6x+7}}} Combine like terms on the left side.



{{{-2x-3=-6x+19}}} Combine like terms on the right side.



{{{-2x=-6x+19+3}}} Add {{{3}}} to both sides.



{{{-2x+6x=19+3}}} Add {{{6x}}} to both sides.



{{{4x=19+3}}} Combine like terms on the left side.



{{{4x=22}}} Combine like terms on the right side.



{{{x=(22)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=11/2}}} Reduce.



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Answer:


So the solution is {{{x=11/2}}}