Question

can someone show me the steps to solve x/6=x/7+5

Answer 1

multiply with 6 and 7 than bring x to one side. voila

Answer 2

\[\frac{ x }{ 6 }=\frac{ x }{ 7 }+5\] to better understand here is the actual problem in the correct equation

Answer 3

Move the x's to one side. Make the denominators equal. Minus the two terms, and move the denominator over to the over side and multiply 5 by the denominator (42) and then divide by the number next to x on the side where 5(42) is. and voila

Answer 4

7x/42 - 6x/42 = 5
x/42=5
x=5(42)

Answer 5

\[\frac{ x }{ 6 }=\frac{ x }{ 7 }+5\]
Multiply both sides by 42 (least common multiple of 6 and 7), to obtain

7x = 6x + 210

∴ x = 210

Do you understand?

Answer 6

so step 2 would look like x/7-x/6=5

Answer 7

yes

Answer 8

Then you make the denominators the same

Answer 9

which would be 42,

Answer 10

yes since 6 X 7 = 42

Answer 11

this is the part i get confused at

Answer 12

would it look like x/42?

Answer 13

but in order to make the denominators equation, you need to times the numerator by the amount that the denominator needs to make 42. eg. 6 X ? = 42 (7)
so times the top x by 7 which becomes 7x.
and the other becomes 6x since you need to times 7 by 6 to make 42.

so it would be 7x/42 - 6x/42
7x-6x = x
so it will eventually become x/42

Answer 14

ahhh ok

Answer 15

so then is x/42=5

Answer 16

Yup

Answer 17

and then simplify from there

Answer 18

yup :)

Answer 19

how do i get x by itself?

Answer 20

move the 42 over to the other side by timesing both sides by 42.