Question

Solve each equation: Please be clear and make on sense on solving equation with/without instructions:
5(6 - 4X) = X + 21

Answer 1

first, distribute 5 into (6-4x)

you're familiar with the distributive property yes?

Answer 2

yes

Answer 3

so what is the result when you distribute 5 into (6-4x)

Answer 4

30 - 20X

Answer 5

good...

so the whole equation will become

30 - 20x = x+ 21

Answer 6

now add 20x to both sides so that all the x are just on one side

Answer 7

yes so it's 30 =21X + 21

Answer 8

right. now subtract 21 from both sides

Answer 9

9 = 21X

Answer 10

and lastly, divide both sides by 21

Answer 11

3/7

Answer 12

right!

Answer 13

is it X = 3/7

Answer 14

is that the answer

Answer 15

yes x = 3/7 is the final answer

Answer 16

can you please show how it would it look like put in for X with the answers

Answer 17

what do you mean?

Answer 18

enter 3/7 in for X

Answer 19

do you mean for checking?

5(6 - 4(3/7) ) = 3/7 + 21

\[\implies 5(6 - \frac{12}{7} ) = \frac 37 + \frac{147}{7}\]
\[\implies 5(\frac{42}{7} - \frac{12}7) = \frac{150}{7}\]
\[\implies 5(\frac{30}{7}) = \frac{150}{7}\]
\[\implies \frac{150}{7} = \frac{150}7 \checkmark\]

Answer 20

like that?

Answer 21

ya thanks! I could figure it out how it worked

Answer 22

How did you get 147/7

Answer 23

to make 21/1 into a fraction with denominator 7, first divide 7 by 1. the answer is still 7. then, multiply 7 to 21 which is 147

Answer 24

okay gotcha

Answer 25

how did you get 42/7

Answer 26

6/1

divide 7 by 1 hat becomes 7 then multiply to 6..42

Answer 27

hello dude what's going on #lgbasallote