How do you solve #4/11 x +23 = x -19#?

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Answer 1 · 2017-12-04T20:44:53

#x=66#

multiply all for 11

#4x+23(11)=11x-19(11)#

#4x+253=11x-209#

#4x-11x=-209-253#

#-7x=-462#

#x=66#

Answer 2 · 2017-12-04T20:45:39

Solve for x by rearranging the equation.
x = 66

Move the like terms to one side. What you do to one side of the equation is done to the other.

19 + 23 = #-4/11+x#
Note: to match the fraction, x=1, so x is also #11/11#.
42 = #7/11#
From here you solve for x by dividing/multiplying by #7/11# to isolate the x.
x = 42( #11/7#)
x = 66