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With a quick explanation please

With a quick explanation please-example-1
User Blindguy
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(40)/(5x-2)=(55)/(6x+6)\ \ \ |\text{cross multiply}\\\\40(6x+6)=55(5x-2)\\\\240x+240=275x-110\ \ \ |-240\\\\240x=275x-350\ \ \ \ |-275x\\\\-35x=-350\ \ \ \ \ |:(-35)\\\\\boxed{x=10}

Look at the picture.

With a quick explanation please-example-1
User Dan Markhasin
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