Question

What is the solution to the rational equation 4/3 + 2/x+5 = -6/3x+15 ?

Answer 1

combine the fractions on both sides of the equation and bring x into the numerator

Answer 2

remember you need a common denominator to add or subtract fractions

Answer 3

First write

4/3 + 2/x+5
and
-6/3x+15

as a single fraction

Answer 4

okayy

Answer 5

sorry I probably didn't articulate that well enough

write
4/3 + 2/x+5 as a single fraction
and
-6/3x+15 as a single fraction

keep them seperate

Answer 6

so 6/ 3x+15 = -6/ 3x+15 ?

Answer 7

what is the value of x

Answer 8

One side of the equation simplified
4/3 + 2/x+5
=
4(x+5)/3(x+5) + 3(2)/3(x+5)
=
( 4(x+5) + 3(2) )/3(x+5)

The otherside simplified
-6/3x+15
=
-6/3x + 15(3x)/3x
=
(-6 + 15(3x))/3x


now you have

(-6 + 15(3x))/3x = ( 4(x+5) + 3(2) )/3(x+5)

now bring the variables into the numerator

(-6 + 15(3x))3(x+5)(3x)/3x = ( 4(x+5) + 3(2) )(3x)(x+5)/(x+5)
=
(-6 + 15(3x))3(x+5) = (4(x+5) + 3(2) )(3x)

Now expand the terms and simplify you should be able to do this

Answer 9

4/3 + 2/(x+5) = -6/(3x+15) ?

Answer 10

@chanh_chung yea

Answer 11

[4*(x+5)+2*3+6]/(3x+5)=0
12x+72/(3x+5)=0
12x+72=0
x=-72/12=-6

Answer 12

value of x
A. -2
B. 2
C 8
D =8

Answer 13

D. -8 *

Answer 14

you got x = -72 ?

Answer 15

sr

Answer 16

what ?
i gave the four answer choices

Answer 17

sorry
[4*(x+5)+2*3+6]/(3x+5)=0
(4x+32)/(3x+5)=0
4x+32=0
x=-32/4=-8

Answer 18

okayy thank you