How do you solve #3.56x+2.43=6.17x-11.40#?

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Answer 1 · 2016-12-19T15:00:12

#x = 13.83/2.61#

or

#x = 5.30# rounded to the nearest one-hundredth

First, isolate the #x# terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

#3.56x + 2.43 color(red)( - 3.56x + 11.40) = 6.17x - 11.40 color(red)( - 3.56x + 11.40) #

#3.56x - 3.56x + 2.43 + 11.40 = 6.17x - 3.56x - 11.40 + 11.40#

#0 + 2.43 + 11.40 = 6.17x - 3.56x - 0#

#2.43 + 11.40 = 6.17x - 3.56x#

#13.83 = (6.17 - 3.56)x#

#13.83 = 2.61x#

Now we can solve for #x# while keeping the equation balanced:

#13.83/color(red)(2.61) = (2.61x)/color(red)(2.61)#

#13.83/2.61 = (color(red)(cancel(color(black)(2.61)))x)/color(red)(cancel(color(black)(2.61)))#

#x = 13.83/2.61#