Question

-14(3a+6)=12(6-4a)+12 and steps please

Answer 1

In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

Explanation:

Given equation is -14(3a+6)=12(6-4a)+12

To simplify the given equation:

-14(3a+6)=12(6-4a)+12

Taking all terms to one side

-14(3a+6)-12(6-4a)-12=0

-[14(3a+6)+12(6-4a)+12]=0

Now dividing by negative sign on the above equation we get

14(3a+6)+12(6-4a)+12=0 (using distributive property)

42a+84+72-48a+12=0 ( adding the like terms )

-6a+168=0

-6a=-168

6a=168

`a=(168)/(6)`

Therefore a=28

Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28