Question

Help needed ASAP!
Question below

Answer 1

\[\frac{ 2x+1 }{3 }=\frac{ x+6 }{ 2 }\]
Could someone show me step by step how to solve this?

Answer 2

cross multiply first that gives you

2(2x+1) = 3(x+6)

Answer 3

now distribute
4x+2 = 3x +18

Answer 4

are you following...

Answer 5

Yeah... I'm a bit confused on the cross multiplying

Answer 6

ok lets go back, in order to get rid of the bottom for the left side lets multiply both sides by 3

3(2x+1)/3 = 3(x+6)/2 which reduces to 2x+1 = 3(x+6)/2

Answer 7

now on the right side we want to get rid of 2 so lets multiply both sides by 2

2*(2x+1) = 2*3*(x+6)/2 but that reduces to 2*(2x+1) = 3*(x+6)

since 3/3 and 2/2 reduces to 1

Answer 8

cross multiplication is just a quicker way to do it and it always works

Answer 9

so now we just distribute 2*(2x+1) = 3*(x+6)

and gives 4x + 4 = 3x + 18

Answer 10

4x + 2 = 3x +18 sorry typo

Answer 11

Okay... So then we just do the regular solving of it?
The whole, take 3x away from both sides, then take 2 away from both sides?

Answer 12

yes

Answer 13

So.. x=16?

Answer 14

yes thats correct

Answer 15

Awesome! Thank you!

Answer 16

yea no problem :D