Question

For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?

Answer 1

Answer:

x = 4

Step-by-step explanation:

We would like to find the value of x such that:

2x + 1 = (8x + 5) + 20

Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.

Now, we simply solve for x:

2x + 1 = 8x + 5 + 20

2x + 1 = 8x + 25

6x = 24

x = 4

The answer is thus 4.

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Answer 2

Answer:

x = -4.

Step-by-step explanation:

The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.

2x + 1 = 8x + 5 + 20

2x - 8x = 25 - 1

-6x = 24

x = -4

Hope this helps!