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How many solutions does the following equation have?

-4(x+ 5) = -4x – 20

2 Answers

3 votes

Answer: Infinite number of solutions; if you need the answer, it will be all real number

Explanation:

To find out how many solutions a equation has, you need to first simplify it.

Given

-4(x+5)=-4x-20

Distributive property

-4x-20=-4x-20

Add -4x on both sides

-20=-20

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As seen above, both sides have the same expression. This means any number that is substitute as x will give the same result on both sides so there are infinite number of solution.

All real number (ARN) will be the answer for this equation.

User Shaul Rosenzweig
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4.6k points
4 votes

Answer:

infinite solutions

Explanation:

-4(x+ 5) = -4x – 20

Distribute

-4x-20 = -4x-20

Add 4x to each side

-20 = -20

This is always true so there are infinite solutions

User T Blank
by
4.5k points