Question

5(x-3)=2(x+3) explain in concepts​

Answer 1

Answer:

look in explanation

Explanation:

5x-15=2x+6

5x-2x=6+15

3x=21

x=21/3

x=7

Answer 2

Answer:

5(x-3) = 2(x+3)

5x - 15 = 2x + 6

5x-2x= 6+15

3x= 21

x=21/3

Explanation:

First, we will solve brackets

see in Left hand side 5(x-3)

which means we have to do multiplication

5 × (x-3)

5 will be multiplied with x and -3

so we get 5x - 15 (L.H.S - left hand side )

Do the same in R.H.S - Right hand side

2 × (x+3)

We get, 2x+6

second step,

you can see, 5x -15 =2x+6 we found

now, take variables at one side and numbers one side

variables are those with whom letters a,b,c...x,y,z are attached with numbers

like in 5x-15=2x+6

variables are 5x and 2x so take them in one side and others in one side

like this, 5x -2x = 6+15

here, I write -2x insted of +2x bcz when we take something from R.H.S to L.H.S or from L.H.S to R.H.S its sign changes like 2x was in plus (+) but when we move it to L.H.S it will be -2x

same with -15 when moved to R.H.S will be +15

third step, do the calculation

5x-2x = 6+15

3x = 21

and now here x is variable remember we have to take x at one side and other numbers at one side

i.e. 3 × x = 21

here 3 is multiplied by x..ok

so when we take something to R.H.S or to L.h.S its sign changes

so here is in multiply (L.H.S.)

so when we take it to other side it will be upon means divisible

and for example if there is x÷3 =21

then 3 will be multiplied to other side ok bcz here is x/3 so we multiply

this is just an example !

now coming to question

3x=21

x = 21÷3 ok

x= 7 ans.

hope u understand