Question

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

Answer 1

Answer:

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

Step-by-step 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.

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

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

$(x-2)= 2$

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.