Which of the following expressions is not equivalent to -12x+36?

a. -3x+20-9x+16
b. 4(-3x+9)
c. 20x-2(4x-18)
d. -6x+2(-3x+6)+24

Option C

20x - 2(4x - 18) is not equivalent to given expression -12x + 36

Solution:

Given expression is:

-12x + 36

We have to find out the expressions that are not equivalent

Let us check the options one by one

Combine the like terms

Add the like terms and add the constants

Thus this expression is equivalent to given expression

By distributive property we can say,

a(b + c) = ab + bc

Thus this expression is equivalent to given expression

Similarly, using distributive property,

But 12x + 36 is not equivalent to given expression -12x + 36

Similarly, using distributive property,

Thus this expression is equivalent to given expression