Addition property subtraction property multiplication property division property simplifying
Distributive Property

step-1: Given equation
[tex]7(x-2)=-35[/tex]
step-2:
[tex]\frac{7(x-2)}{7} =\frac{-35}{7}[/tex]
Since, in both sides , there is 7 in the denominator
so, we are dividing both sides by 7
so, division property
step-3:
[tex](x-2)=-5[/tex]
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:
[tex]x-2+2=-5+2[/tex]
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:
[tex]x=-3 [/tex]
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