The correct answer is: " x = 0 " .
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Step-by-step explanation:
Given: " 8 + 8x = 8 " ; Solve for "x" ;
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Method 1)
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Subtract "8" from each side of the equation:
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→ " 8 + 8x − 8 = 8 − 8 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
" +8 − 8 = 0 " ;
→ and we are left with "8x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(8 − 8)" = 0 ;
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And we are left with:
→ " 8x = 0 " ;
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Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
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→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
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Method 2)
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Given: " 8 + 8x = 8 " ; Solve for "x" ;
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Subtract "8" from each side of the equation; in the following manner:
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8 + 8x = 8 ;
- 8 = - 8 ;
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0 + 8x = 0 ;
→ We have: " 0 + 8x = 0 " ;
→ Note: On the "left-hand side" ; we have:
" 0 + 8x " ;
We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.
Now, we can bring down the "0" from the "right-hand side" of the equation;
And we can rewrite our equation as:
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→ " 8x = 0 " ;
Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
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→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
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Method 3)
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Given: " 8 + 8x = 8 " ; Solve for "x" ;
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Divide each side of the equation by "8" ;
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→ " 
" ;
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To solve:
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Note: On the "right-hand side" of the equation:
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Take note that: " 
(8 ÷ 8) = 1 " ;
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Rewrite the equation as:
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→ " 
" ;
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To solve:
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Note: " 
" ; ↔ 
; 
;
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→ " " ;
→ From the "left-hand side" of the equation;
Let us simplify:
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→ " 
" ;
Now, bring down the "1" from the "right-hand side" of the equation;
and rewrite the equation:
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→ " 1 + x = 1 " ;
Now, subtract "1" from each side of the equation;
to isolate "x" on one side of the equation;
& to solve for "x" :
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" 1 + x − 1 = 1 − 1 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
+1 − 1 = 0 " ;
→ and we are left with "x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(1 − 1)" = 0 ;
→ And we are left with:
→ " x = 0 " ;
→ which is the correct answer!
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The correct answer is: " x = 0 " .
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Hope that this answer—and the corresponding explanations—
are helpful !
WIshing you the best!
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