How do you solve #\frac { 5} { x + 3} - 2= \frac { 7} { x + 3}#?

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Answer 1 · 2017-03-29T22:34:03

#x=-4#

Multiply each term by #x+3# to get rid of the fraction

#cancel(x+3)*5/cancel(x+3)-2(x+3)=cancel(x+3)*7/cancel(x+3)#

#5-2(x+3)=7#

Solve the term that has parenthesis using the distributive property

#5-2x-6=7#

Group like terms

#5-6-2x=7#

#-1-2x=7#

When you take a number or a variable to the other side of an equation, the sign changes.

#-2x=7+1#

#-2x=8#

Divide both sides by #-2#

#(cancel(-2)x)/cancel(-2)=8/-2#

#x=-4#