Question

Given 3(x-2)=6, then x is equal to:
Select one:
A.5
b.4
c. 2
d.6

Answer 1

`\boxed {\boxed {\sf B. \ 4}}`

Explanation:

We are given the following equation.

`3(x-2)=6`

We are solving for x, so we must isolate the variable using the inverse operation.

(x-2) is being multiplied by 3. The inverse operation of multiplication is division, so we divide both sides of the equation by 3.

`\frac {3(x-2)}{3}= (6)/(3)`

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

`(x-2)= 2`

2 is being subtracted from x. The inverse operation of subtraction is addition, so we add 2 to both sides of the equation.

`(x-2)+2= 2+2`

`x=2+2`

`x=4`

Check the answer by plugging 4 in for x in the original equation.

`3(x-2)= 6`

`3(4-2)= 6`

`3(2)= 6`

`6=6`

This checks out, so we know our answer is correct. x is equal to 4 and choice B is correct.