<PRE><B>Question 211922</B>


{{{-5(2x-1)=3(x+4)}}} Start with the given equation.



{{{-10x+5=3x+12}}} Distribute.



{{{-10x=3x+12-5}}} Subtract {{{5}}} from both sides.



{{{-10x-3x=12-5}}} Subtract {{{3x}}} from both sides.



{{{-13x=12-5}}} Combine like terms on the left side.



{{{-13x=7}}} Combine like terms on the right side.



{{{x=(7)/(-13)}}} Divide both sides by {{{-13}}} to isolate {{{x}}}.



{{{x=-7/13}}} Reduce.



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Answer:


So the solution is {{{x=-7/13}}} which approximates to {{{x=-0.538}}}. 
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