Question 765477
{{{5t-(4-t)=8-(2+t)}}} Start with the given equation.



{{{5t-4+t=8-2-t}}} Distribute.



{{{-4+6t=8-2-t}}} Combine like terms on the left side.



{{{-4+6t=6-t}}} Combine like terms on the right side.



{{{6t=6-t+4}}} Add {{{4}}} to both sides.



{{{6t+t=6+4}}} Add {{{t}}} to both sides.



{{{7t=6+4}}} Combine like terms on the left side.



{{{7t=10}}} Combine like terms on the right side.



{{{t=(10)/(7)}}} Divide both sides by {{{7}}} to isolate {{{t}}}.



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Answer:


So the solution is {{{t=10/7}}}