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Answer:
[tex]x=-\dfrac{251}{79}[/tex]
Step-by-step explanation:
[tex]-79(x+3)=14[/tex]
To isolate x, we must perform inverse operations on both sides of the equal sign to cancel values out.
First, divide both sides by -79 to get rid of it on the left side of the equation:
[tex]\dfrac{-79(x+3)}{-79}=\dfrac{14}{-79}[/tex]
[tex]x+3=-\dfrac{14}{79}[/tex]
Now, subtract 3 from both sides to isolate x:
[tex]x+3-3=-\dfrac{14}{79}-3[/tex]
[tex]x=-\dfrac{14}{79}-3[/tex]
[tex]x=-\dfrac{251}{79}[/tex]
Hey there!
-79(x + 3) = 14
DISTRIBUTE -79 WITHIN the PARENTHESES
-79(x) - 79(3) = 14
-79x - 273 = 14
ADD 273 to BOTH SIDES
-79x - 273 + 273 = 14 + 273
CANCEL out: -273 + 273 because it gives you 0
KEEP: 14 + 273 because it help solve for the x-value
NEW EQUATION: -79x = 14 + 273
SIMPLIFY IT!
-79x = 251
DIVIDE -79 to BOTH SIDES
-79x/-79 = 251/-79
CANCEL out: -79/-79 because it give you 1
KEEP: 251/-79 because it give you the x-value
NEW EQUATION: x = 251/-79
SIMPLIFY IT!
x = - 3 14/76 or x = - 251/79
Therefore, your answer is:
x = - 3 14/76 or x = - 251/79
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)