Christian conducted a survey to find the favorite hobby of her classmates from 4 choices. He surveyed the same number of girls as boys. The table shows his results
Name
Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
Fewer students prefer reading than prefer cooking.
OTwice as many sutdents prefer reading than prefer hiking.
The hobby that the most boys prefer is different than the hobby that most girls prefer.

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'.

x = -5

step-by-step explanation: