Question 199279
{{{5t+3/4=3t-7/8}}} Start with the given equation.



{{{8(5t)+cross(8)^2(3/cross(4))=8(3t)-cross(8)(7/cross(8))}}} Multiply both sides by the LCD {{{8}}} to clear any fractions.



{{{40t+6=24t-7}}} Distribute and multiply.



{{{40t=24t-7-6}}} Subtract {{{6}}} from both sides.



{{{40t-24t=-7-6}}} Subtract {{{24t}}} from both sides.



{{{16t=-7-6}}} Combine like terms on the left side.



{{{16t=-13}}} Combine like terms on the right side.



{{{t=(-13)/(16)}}} Divide both sides by {{{16}}} to isolate {{{t}}}.



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Answer:


So the solution is {{{t=-13/16}}} which in decimal form is {{{t=-0.8125}}}.