Answer:
3. 6x -3 +4 = 7
4. 6x +1 = 7
5. 6x = 6
6. x = 1
Step-by-step explanation:
3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.
3(2x -1) +4 = 7 . . . . . . given
3(2x) +3(-1) +4 = 7 . . . . using the distributive property
6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products
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4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.
6x +1 = 7
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5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.
6x +1 -1 = 7 -1
6x = 6
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6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.
6x/6 = 6/6
x = 1
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<em>Additional comment</em>
You're told to apply these steps without any explanation as to why or what the goal may be. We assume <em>you're supposed to realize that you can use these steps to solve the equation</em>. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.
