Question

Addition property subtraction property multiplication property division property simplifying

Distributive Property

Answer 1

step-1: Given equation

`7(x-2)=-35`

step-2:

`(7(x-2))/(7) =(-35)/(7)`

Since, in both sides , there is 7 in the denominator

so, we are dividing both sides by 7

so, division property

step-3:

`(x-2)=-5`

we can see that 7 is getting cancelled with 7 on left side

and 7 is getting cancelled with -35 on right side

so, we are simplifying it

so, simplifying property

step-4:

`x-2+2=-5+2`

we can see that 2 is added on left side and 2 is added on right side

so, we are adding 2 on both sides

so, addition property

step-5:

`x=-3`

we can see that 2 on both sides are no more

it has been added with -2 on left side and -5 on right side

so, it will help in simplification

so, simplifying property