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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

----------------------------------------------------

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.

answered
User Shaul Rosenzweig
by
8.5k 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

answered
User T Blank
by
8.1k points

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