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put this solution on YOUR website!Given:
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2(x - 3) + 2= -4
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Do the distributed multiplication first ... that is multiply the 2 times each of the terms
inside the parentheses. This makes the equation become:
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2x - 6 + 2 = -4
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Combine the two numbers on the left side ... - 6 and + 2 to get -4
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This makes the equation become:
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2x - 4 = -4
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Now get rid of the -4 on the left side by adding +4 to both sides to get:
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2x = 0
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Finally, solve for x by dividing both sides by 2 and the equation becomes:
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x = 0/2 = 0
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So the answer to this problem is that x has to equal zero.
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Let's check this answer by returning to the original given equation and substituting
zero for x to see if the equation is equal on both sides:
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2(x - 3) + 2= -4
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Substitute 0 for x and you get:
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2(0 - 3) + 2 = -4
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Notice that inside the parentheses 0 - 3 is just - 3. This makes the equation become:
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2(-3) + 2 = -4
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Multiply the 2 times the -3 to get -6:
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-6 + 2 = -4
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and when you combine the two numbers on the left side, you get:
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-4 = -4
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This is true, so the answer of x = 0 is correct.
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Hope this helps you to understand the problem a little better.
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