Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x
1 answer:
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Answer: x = 72
Step-by-step explanation: Although the problem is saying "X over 8", this really signifies that the <em>x</em> is being divided by 8 which is what a fraction is, numerator divided by a denominator.
Let's first undo what has been done. Since our variable is being divided by 8, we'll undo that by multiplying by 8 on both sides. It's important to remember, whatever you do on one side,
you <u><em>must</em></u> do to the other side.
If you look now, the 8 in the numerator and the 8 in the denominator will divide out and it will leave us with our variable which is <em>x</em>. Working on the other side now, 9 x 8 is equal to 72 so <em>x = 72</em> is our answer.
We can check our answer by plugging a 72 back into the original equation. So we have 72/8 = 9 which is a true statement
so our answer is correct.
