Respuesta :

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