SOLUTION: Solve linear equation and find the value of X. 22. 12 + X 5X-7 ________ = _______ + 2 -4 3

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Question 66881This question is from textbook College Algebra
: Solve linear equation and find the value of X.
22. 12 + X 5X-7
________ = _______ + 2
-4 3


This question is from textbook College Algebra

Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
You can put this solution on YOUR website!
22.
:
%2812+%2B+x%29%2F%28-4%29 = %285x+-7%29%2F3 + 2
:
Get rid of the denominator, multiply equation by 12:
%2812%2812+%2B+x%29%29%2F%28-4%29 = %2812%29%285x+-7%29%2F3 + (12)2
Resulting in:
-3(12 + x) = 4(5x - 7) + 24
:
Multiply what's inside the bracket, (a neg outside changes the signs inside)
-36 - 3x = 20x - 28 + 24
:
-3x - 20x = -28 + 24 + 36
:
-23x = +32
x = +32/-23
x = -32/23
:
A rather unwieldy fraction, however, I checked it by substitution.