# SOLUTION: can you show me how to work this problem out step by step. 2/5x + 6 = 2/3x+10

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 Click here to see ALL problems on Linear-systems Question 344824: can you show me how to work this problem out step by step. 2/5x + 6 = 2/3x+10Found 2 solutions by ewatrrr, stanbon:Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!Hi, to Clear out the "pesty" denominators, multiply each term on both sides of the equation by 15 (this is commonly known as the "common denominator" for 3 and 5. . for ex and . . combine like terms and solve 6x + 90 = 10x + 150 -60 = 4x . Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!2/5x + 6 = 2/3x+10 -------------------------- (2/5)x-(2/3)x = 10-6 -------- [2/5 - 2/3]x = 4 --------- [(6-10)/15]x = 4 ----- (-4/15)x = 4 --- (-1/15)x = 1 x = -15 =================== Cheers, Stan H. ===================