Question 198669
a)


{{{4x+3=13}}} Start with the given equation.



{{{4x=13-3}}} Subtract {{{3}}} from both sides.



{{{4x=10}}} Combine like terms on the right side.



{{{x=(10)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=5/2}}} Reduce.



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Answer:


So the solution is {{{x=5/2}}} which in decimal form is {{{x=2.5}}}. 


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b)




{{{2(x-1)=3(x+4)}}} Start with the given equation.



{{{2x-2=3x+12}}} Distribute.



{{{2x=3x+12+2}}} Add {{{2}}} to both sides.



{{{2x-3x=12+2}}} Subtract {{{3x}}} from both sides.



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



{{{-x=14}}} Combine like terms on the right side.



{{{x=(14)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=-14}}} Reduce.



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Answer:


So the solution is {{{x=-14}}}