Question

Find the missing value in the following equation in order to have an identity. 2(x-3)=2(4x-◻️)-6x

Answer 1

The missing value is 3

Explanation:

Let the missing value be k.

Then the equation is:

`2(x - 3) = 2(4x - k) - 6x`

Let us expand the parenthesis to obtain:

`2x - 6 = 8x - 2k - 6x`

Regroup on the right to get:

`2x - 6 = 8x - 6x - 2k`

Simplify the RHS to get:

`2x - 6 = 2x - 2k`

Comparing constant terms, we must have

`- 6 = - 2k`

`k = ( - 6)/( - 2) = 3`

Therefore the missing value is 3