9514 1404 393
Answer:
- distributive property
- combine like terms
- subtraction (or addition) property of equality
- addition property of equality
- division property of equality
Step-by-step explanation:
1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The <em>distributive property</em> says you can do that.
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2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you <em>combine like terms</em>.
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3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The <em>subtraction property of equality</em> says you can do that. (Note that subtracting 3x is the same as adding -3x.)
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4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The <em>addition property of equality</em> says you can do that.
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5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The <em>division property of equality</em> says you can do that (provided the divisor is not zero.)
