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:
- Let's assume the number is represented by 'x'.
- The sum of 6 times the number and 3 can be written as 6x + 3.
- We are given that this sum is equal to 8, so we can write the equation as 6x + 3 = 8.
- 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.
- Simplifying both sides gives us 6x = 5.
- Finally, to solve for 'x', we divide both sides of the equation by 6: 6x/6 = 5/6.
- Therefore, the solution to the equation is x = 5/6.