How do you solve #\frac { 4} { 3} x - 3= - 11#?

1 Answer
Jim G.
Nov 8, 2017

#x=-6#

Explanation:

#"note that "4/3x=(4x)/3#

#"multiply All terms by 3 "#

#(cancel(3)^1xx(4x)/cancel(3)^1)-(3xx3)=3xx-11#

#rArr4x-9=-33larrcolor(blue)"no fractions"#

#"add 9 to both sides"#

#4xcancel(-9)cancel(+9)=-33+9#

#rArr4x=-24#

#"divide both sides by 4"#

#(cancel(4) x)/cancel(4)=(-24)/4#

#rArrx=-6#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#(4xx-6)/3-3=(-24)/3-3=-8-3=-11=" right "#

#rArrx=-6" is the solution"#

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