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Given that eight π₯ minus nine equals twenty-three, find the value of π₯ divided by two.
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So the first thing that we need to do is we need to find what π₯ is equal to.
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So we will take our equation, eight π₯ minus nine equals twenty-three, and we will solve for π₯.
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So in order to solve for π₯, we first need to get rid of the minus nine.
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The opposite of subtracting nine would be to add nine.
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Thatβs how we will get rid of the minus nine.
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So we need to add nine to both sides of the equation.
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On the left-hand side of the equation, the nine is cancelled.
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And on the right-hand side of the equation, twenty-three plus nine is equal to thirty-two.
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So now in order to isolate π₯ to get it by itself, eight is being multiplied to π₯.
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So to get rid of eight, we must divide by eight.
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We have to do that to both sides of the equation.
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The eight is cancelled on the left-hand side of the equation.
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And on the right-hand side of the equation, thirty-two divided by eight is equal to four, so π₯ is equal to four.
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Now it wants us to find the value of π₯ divided by two.
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So letβs replace π₯ with four.
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And four divided by two is equal to two, so the value of π₯ over two or π₯ divided by two is equal to two.