How do you solve #\frac { x + 5} { x - 6} = \frac { 3} { 4}#?

1 Answer
Andy Y.
May 30, 2017

#x=-38#

Explanation:

First, use cross multiplication to get rid of the fractions

#(x+5)4=(x-6)3#

Next, multiply the integers through to the algebraic expressions.

#4x+20=3x-18#

Next, place terms with #x#'s on one side, and just plain numbers on the other. So, subtracting #3x# from both sides as well as subtracting #20# from both sides gives,

#x=-38#

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