I had to complete the following solution by filling in the missing statements and reasons. I filled out the statements, but am having trouble wording the last two reasons.

Following solution: x-2(3x-4)=18

Statement: x-2(3x-4)=18 Reason: Given
Statement: x-6x+8=18 Reason: Distributive Property
Statement: -5x+8=18 Reason: Simplify
Statement: -5x=10 Reason: ?
Statement: x=-2 Reason: ?

Statement: -5x=10 Reason: subtract 8 from both sides, whatever you do to one side you must do to the other

Statement: x=-2 Reason: divide both sides by -5 , whatever you do to one side you must do to the other

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To fill out the missing reasons for the last two statements, we need to walk through the process step by step.

Statement: -5x+8=18 Reason: Simplify

To simplify the equation, we need to combine like terms on the left side. In this case, the like terms are -5x and 8. We get -5x+8 by collecting the two terms together.

Statement: -5x=10 Reason: Combine Like Terms

The missing reason here is "Combine Like Terms." This reason explains that we obtained -5x=10 by subtracting 8 from both sides of the equation.

Statement: x=-2 Reason: Solve for x

The missing reason here is "Solve for x." This reason explains that we obtained x=-2 by dividing both sides of the equation by -5.

Now the completed solution looks like this:

Statement: x-2(3x-4)=18 Reason: Given
Statement: x-6x+8=18 Reason: Distributive Property
Statement: -5x+8=18 Reason: Simplify
Statement: -5x=10 Reason: Combine Like Terms
Statement: x=-2 Reason: Solve for x