Question

Solve the equation 3(x+2)=x+12 provide a justification for each step

Answer 1

Answer:

x=3

Step-by-step explanation:

distribute 3 into (x+2)

3x+6=x+12

move all the x variables to one side and all the numbers to another side

3x+6=x+12                                                                                                                         -3x      -3x

6=-2x+12

-12       -12

6-12=-2x

-6=-2x

isolate x by dividing everything by -2

-6/-2=-2x/-2

eliminate the -2 multiplying the x with the -2 dividing the -2x

-6/-2= x

x=3

Answer 2

Answer:

x=3

Step-by-step explanation:

3(x+2)=x+12

First, distribute the 3(x+2).

3x+6=x+12

Next, subtract 1x from each side. That will cancel out the x in the x+12.

2x+6=12

Subtract 6 from both sides. Canceling out the 6 in the 3x+6.

2x=6

Divide both sides by 2.

x=3