1x + 8 +1x+12=18

Answer 1

Considering that this given mathematical statement is an equation, it seems that we are meant to solve for the variable 'x' (since I do not see any given lead of instruction). So we do the following:

1. (Focusing on the left side since it is the most complicated side of the equation) we will simplify the left side down by combining like terms:

1x + 8 + 1x +12 = 18

2x + 8 + 12 = 18

2x + 20 = 18

1. To start to prepare for x to be isolated on one side, we will need to now move the 20 to the right side of the equal sign by subtracting 20 on both the left side and the right side and combine it with 18:

2x + 20 = 18

- 20 - 20

2x = - 2

1. Finally, to get x completely by itself (isolated) on the left side, we will divide 2 on both sides of the equal sign, so that it is cancelled on the left side and it divides into -2 on the right side, to keep the equation balanced and maintaining its integrity:

2x = - 2

2 2

x = - 1

We see the solution to the equation is that x is -1. Nevertheless, we are not totally done with this problem. The last step to do is always to check the solution -- that is, to clarify and confirm whether we did the process correctly (using order of operations and algebraic principles) and that the solution makes this equation true (makes logical sense). So, we simply substitute (replace) x with -1, what we found it to be equal to, and see when we work through the left side that it equals the right side, which is simply 18:

1x + 8 + 1x + 12 = 18

1(-1) + 8 1(-1) + 12 = 18 ?

- 1 + 8 - 1 + 12 = 18

7 - 1 + 12 = 18

6 + 12 = 18

18 = 18 --> True

Based on this checkpoint, it is confirmed that x = -1 is the correct specific solution to this equation.