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Solve this equation 8+8x=8

2 Answers

3 votes

Hello!

Answer:

x=0

Explanation:

Hope this helps!

Solve this equation 8+8x=8-example-1
User Nate Weiner
by
8.4k points
5 votes

Answer: The correct answer is: " x = 0 " .

________

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" :

________

→ 8x / 8 = 0/8 ;

to get:

→ " x = 0 " ;

→ which is the correct answer.

________

Method 2)

________

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:

________

→ " 8x = 0 " ;

Now, divide each side of the equation by "8" ;

to isolate "x" on one side of the equation;

& to solve for "x" :

________

→ 8x / 8 = 0/8 ;

to get:

→ " x = 0 " ;

→ which is the correct answer.

________

Method 3)

________

Given: " 8 + 8x = 8 " ; Solve for "x" ;

________

Divide each side of the equation by "8" ;

________

→ "
((8 + 8x))/(8) =(8)/(8) " ;

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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) = (8 ÷ 8) = 1 " ;

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Rewrite the equation as:

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→ "
((8 + 8x))/(8) =1 " ;

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To solve:

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Note: "
(x)/(y) = z " ; ↔
x = z*y ;
(y\\eq 0) ;

________

→ "
((8 + 8x))/(8) =1 " ;

→ From the "left-hand side" of the equation;

Let us simplify:

________

→ "
((8 + 8x))/(8) = (8)/(8) + (8x)/(8) = 1 + x " ;

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" :

________

" 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!

________

The correct answer is: " x = 0 " .

________

Hope that this answer—and the corresponding explanations—

are helpful !

WIshing you the best!

________

User Tiguchi
by
7.8k points

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