Answer: " x = - 4 " .
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Step-by-step explanation:
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Method 1):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Add "10" to Each Side of the equation:
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-5x − 10 + 10 = 10 + 10 ;
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to get:
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-5x = 20 ;
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Now, divide Each side of the equation by " -5 " ;
to isolate "x" on one side of the equation;
& to solve for "x" :
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-5x / -5 = 20/ -5 ;
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to get:
" x = - 4 " .
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Method 2):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Multiply each side of the equation by "-1" ; to get rid of the "negative value" of the "coefficient of "x" :
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-1 *{-5x − 10} = 10*{-1} " ;
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to get:
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[-1*-5x] − [-1*10] = -10 ;
to get:
5x − (-10) = -10 ;
to get:
5x + 10 = -10 ;
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Subtract "10" from Each Side of the equation:
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5x + 10 − 10 = -10 − 10 ;
to get:
5x = -20 ;
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Now, divide each side of the equation by "5" ;
to isolate "x" on one side of the equation;
and to solve for "x" ;
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5x / 5 = -20 / 5 ;
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to get:
" x = - 4 " .
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Method 3):
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Given:
" -5x − 10 = 10 " ; Solve for "x" ;
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Divide Each Side of the equation by: "-5" ;
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" [tex]\frac{-5x-10}{-5} = \frac{10}{-5}[/tex] " ;
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Simplify to:
" [tex]\frac{-5x}{-5} - \frac{10}{-5} = \frac{10}{-5}[/tex] " ;
Simplify to:
" x − (-2) = - 2 " ;
Simplify to:
" x + 2 = - 2 " ;
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Now, subtract "2" from Each Side of the equation;
to isolate "x" on one side of the equation;
and to solve for "x":
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" x + 2 − 2 = - 2 − 2 " ;
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to get:
" x = - 4 " .
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Hope these explanations are helpful to you!
Wishing you the best!
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