Question 307022


{{{9t/4-2=3t-1/2}}} Start with the given equation.



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



{{{9t-8=12t-2}}} Distribute and multiply.



{{{9t=12t-2+8}}} Add {{{8}}} to both sides.



{{{9t-12t=-2+8}}} Subtract {{{12t}}} from both sides.



{{{-3t=-2+8}}} Combine like terms on the left side.



{{{-3t=6}}} Combine like terms on the right side.



{{{t=(6)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{t}}}.



{{{t=-2}}} Reduce.



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Answer:


So the solution is {{{t=-2}}}