Pls will give brainliest if correct

jeremiah is collecting signatures for a petition. he currently has 520 signatures. there are six weeks remaining to collect the signatures he needs. jeremiah needs a total of 1,000 signatures before he can submit the petition. he wants to collect the same number of signatures each week. let x represent the number of signatures he needs to collect each week.

which of the equations below best models the situation?

question 1 options:

520x + 6 = 1,000

520 + 6x = 1,000

6x - 520 = 1,000

1,000 + 6x = 520

Letting x represent the number of signatures

then

520 + 6x = 1000

Step-by-step explanation:

If we take the 520 signatures Jeremiah already has, and add six times the number of signatures he needs each week, we know he'll end up with the 1,000 signatures he needs. Therefore, the second choice matches our word model:

If Jeremiah needs to collect 1,000 signatures and he currently has 520, he needs to collect 480 more [1,000 – 520 = 480]. If he has six weeks to do it, he needs to collect 80 signatures each week [480 ÷ 6 = 80].

Mathematically, we know

is correct because if you take the 80 signatures each week and substitute it for x in the model, the equation is true:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.