What is the solution set of the equation #x +7/ 2= (5x)/3#?

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Answer 1 · 2018-05-05T03:47:13

#x= 5 1/4#

To solve #x+7/2 = (5x)/3#

Begin by multiplying all of the terms by the common denominator which is #6#

#(6)x+(6)7/2 = (6)(5x)/3#

#6x + 21 = 10x#

Now us the additive inverse to combine the variable values

#cancel(6x) + 21 cancel(-6x) = 10x-6x#

#21 = 4x#

#21/4 = (cancel4x)/cancel4#

#21/4 = x#

#x= 5 1/4#