Question 213746
{{{(2x-7)/5=3x/10+5}}}


Step 1.  Multiply by 10 to both sides of equation to get rid of denominator.


{{{10*(2x-7)/5=10*(3x/10+5)}}}


{{{2*(2x-7)=3x+50}}}


{{{4x-14=3x+50}}}


Step 2.  add 14-3x to both sides of equation to isolate x on left side and number on right side of equation


{{{4x-14+14-3x=3x+50+14-3x}}}


{{{x=64}}}  ANSWER


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J