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The sum of 6 times a number and 3 is equal to 8

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Final answer:

To solve the equation 6 times a number plus 3 equals 8, we can use the steps of algebra. Start by representing the number as 'x' and then isolate the variable and Therefore, the solution to the equation is x = 5/6.

Step-by-step explanation:

To solve the equation, let's break it down step by step:

  1. Let's assume the number is represented by 'x'.
  2. The sum of 6 times the number and 3 can be written as 6x + 3.
  3. We are given that this sum is equal to 8, so we can write the equation as 6x + 3 = 8.
  4. To isolate the variable, we need to get rid of the constant term. We can do this by subtracting 3 from both sides of the equation: 6x + 3 - 3 = 8 - 3.
  5. Simplifying both sides gives us 6x = 5.
  6. Finally, to solve for 'x', we divide both sides of the equation by 6: 6x/6 = 5/6.
  7. Therefore, the solution to the equation is x = 5/6.
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