Question 60275This question is from textbook Pre-Algebra
: Please solve the equation. -19x-34=56-x.
Thanks for the help!
This question is from textbook Pre-Algebra
Found 2 solutions by funmath, Edwin McCravy:
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! Please solve the equation. -19x-34=56-x.
-19x+19x-34=56-x+19x
-34=56+18x
-34-56=56-56+18x
-90=18x
-90/18=18x/18
:
Check, if x=-5, do both sides of the equation =?
-19(-5)-34=56-(-5) ?
95-34=56+5 ?
61=61!!! We're right!!!
Happy Calculating!!!
Answer by Edwin McCravy(20054)  (Show Source):
You can put this solution on YOUR website!
-19x - 34 = 56 - x
Get rid of all terms on the LEFT which DO NOT contain x
The -34 on the LEFT DOES NOT contain x, so we get rid
of it by adding its opposite, +34 to both sides
-19x - 34 = 56 - x
+34 +34
----------------------
-19x = 90 - x
Get rid of all terms on the RIGHT which DO contain x
The -x on the RIGHT DOES contain x, so we get rid
of it by adding its opposite, +x to both sides
-19x = 90 - x
+x +x
----------------------
-18x = 90
Now we divide both sides by the coefficient of x,
which is -18
-18x 90
------ = -----
-18 -18
Dividing on the left gives just x; dividing on
the right gives -5, so we have
x = -5
That's the answer. To check it we replace x
by (-5) in the original equation:
?
-19x - 34 = 56 - x
?
-19(-5) - 34 = 56 - (-5)
?
95 - 34 = 56 + 5
Ö
61 = 61
Both sides have the same number, 61, so the
solution, -5, is correct.
Edwin
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