Paul and brett went to math class and were given the same expression to simplify. the expression they were given was 6 + 12 divided by 2(3) + 1 despite having the same expression, they each came up with different solutions.

Solution: We know that:

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divided by 2(3) + 1.

Looking at the solution's by Paul and Brett, we clearly see that the Paul made a mistake at step 3.

6 + 12 ÷ 2(3) + 1

6 + 12 ÷ 6 + 1                       Correct

18 ÷ 6 + 1                             Incorrect  It should have been 6 + 2 +1

According to order of operation's rule, division needs to done before addition.

Therefore, solution by Paul carries a mistake, while the solution by Brett is correct.

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'.

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