Answer: X = 45
Step-by-step explanation: In this problem, we're asked to solve the following equation and we will check our solution at the end.
When we're asked to solve for x in an equation, what we're really being asked to do is to get x by itself on one side of the equation.
So in this problem, since 6 is being added to x, we need to subtract 6 from the left side of the equation to get x by itself. If we subtract 6 on the left side of the equation, we must also subtract 6 from the right side.
On the left side, +6 and -6 cancel each other out and we have x. On the right side of the equation, 51 - 6 is 45 so we have x = 45 which is the solution to our equation.
It's important to understand that we can check our solution by plugging 45 in for x back in the original equation.
So we have (45) + 6 = 51 or 51 = 51.
Since 51 = 51 is a true statement, we know that our solution is correct.