Question 757678
{{{2(t-5)-3(2t-7)=12-5(3t+1)}}} Start with the given equation.



{{{2t-10-6t+21=12-15t-5}}} Distribute.



{{{11-4t=12-15t-5}}} Combine like terms on the left side.



{{{11-4t=7-15t}}} Combine like terms on the right side.



{{{-4t=7-15t-11}}} Subtract {{{11}}} from both sides.



{{{-4t+15t=7-11}}} Add {{{15t}}} to both sides.



{{{11t=7-11}}} Combine like terms on the left side.



{{{11t=-4}}} Combine like terms on the right side.



{{{t=(-4)/(11)}}} Divide both sides by {{{11}}} to isolate {{{t}}}.



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Answer:


So the solution is {{{t=-4/11}}}