Question

solve the equation for x
9/2 (8-x) +36 =102 - 5/2 (3x +24)
please dont just solve it for me explain it too

Answer 1

In these types of questions you have to separate x /take x on one side of equation to know what is is value okay


So first in order to remove denominator 2 multiply both right hand side as well as left hand side with 2


As shown below

2*( 9/2(8-x)+36) = 2*(102-5/2(3x+24)
So it's same as
2*9/2*(8-x) + 36*2 =2*102 - 2*(5/2(3x+24))


Solve it

9(8-x)+72=204- 5(3x+24)

Multiply
72-9x+72= 204 -(15x+120)

For right hand side that is 204 -(15x+120)
When you will open the bracket as product of negative and positive is negative
It will be 204 -15x-120 on right hand side


Coming back to whole equation
72+72-9x=204-120-15x
144-9x=84-15x

Take x on one side and number on other this is done so that you can separate x and find its value
So
In order to take 15x on other side add 15x on both sides

144-9x+15x =84-15x+15x

On right hand side -15x+15x=0
So it will be
144+6x=84

Take 144 in other side by subtracting it from both sides

144-144+6x=84-144

On left hand side 144-144=0

So it is
6x=-60

In order to separate x
Divide both side by 6

6/6x = -60/6

On left hand side 6/6=1
So x=-10
So your answer for x is -10
Hope that helps

Answer 2

https://youtu.be/p5e5mf_G3FI may be this will help

Answer 3

@Karla this is a very very nice job --- CONGRATS !!!

Answer 4

Thank you :)