Question 677255
{{{(7/2)x-1=2x+5}}} Start with the given equation.



{{{2((7/cross(2))x-1)=2(2x+5)}}} Multiply both sides by the LCD {{{2}}} to clear any fractions.



{{{7x-2=4x+10}}} Distribute and multiply.



{{{7x=4x+10+2}}} Add {{{2}}} to both sides.



{{{7x-4x=10+2}}} Subtract {{{4x}}} from both sides.



{{{3x=10+2}}} Combine like terms on the left side.



{{{3x=12}}} Combine like terms on the right side.



{{{x=(12)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=4}}} Reduce.



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Answer:


So the solution is {{{x=4}}}