What is the solution to #2/3x- 2=-5x +1#?

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Answer 1 · 2016-11-14T13:12:32

#x = 9/17#

Step 1) To solve this problem isolate all terms containing #x# on one side of the equation and all other terms on the other side of the equation:

#2/3x - 2 + 5x + 2 = -5x + 1 + 5x + 2#

#2/3x + 5x = 1 + 2#

#2/3x + 5x = 3#

Step 2) Get the #x# terms over a common denominator and then solve for #x# while keeping the equation balanced:

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

#2/3x + 15/3x = 3#

#17/3x = 3#

#(3/17)17/3x = 3 * (3/17)#

#1x = 9/17#

#x = 9/17#