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Write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.

User Safraz
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2 Answers

12 votes
12 votes

Answer: X=2;

Step-by-step explanation: First, I'll show you how to solve it. So, first, we need to rearrange the terms. So, instead of 8+2x, we'll do:

2x+ 8 = 6x

Now, we need to subtract the 8 from both sides. So it will look like this:

2x+8-8 = 6x-8

So, now we need to simplify this expression, which would look like this:

2x = 6x-8

Then, have to subtract the 6x from both sides, which looks like this:

2x-6x = 6x - 8 - 6x

Now, we combine the like terms, so then the problem becomes smaller, looking like this:

-4x = -8

Now, we need to factor in the expression, which looks like this:


(-4x)/(-4) =
(-8)/(-4)

The -4x and -4 cancel out, and -8 divided by -4 = 2

A real-world problem can look something like this:

Andrea had 6 marbles. She gave 8 to her little sister after losing hers. Then, her mom gave 4 more to Andrea as a birthday present.

(I'm not good at making real-world problems, but it = 12)

I hope this helped!

User TejjD
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3.2k points
11 votes
11 votes

Answer: Explanation is below!

Step-by-step explanation:

John has 8 apples. He then receives a two shipping's of unknown amount of apples. In total, he will have his original amount of apples, plus the two shipping's of unknown amount of apples, which in all will equal to 6 unknown amount of shipping's of said apples.

Write and solve the equation.

==> 8+2x=6x

==> 8 = 4x

==> 2 = x

x = 2

8 + 2(2) = 6(2)

==> 8 + 4 = 12

==> 12 = 12

Hope this helped! Have a good day ;)

User Andrei Krotkov
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2.8k points