Final answer:
To solve for the blank in the equation 6x + ____ = 10, subtract 6x from both sides to find that the blank is filled with the expression '10 - 6x'. If a particular number is required to complete the equation, it should be factored in such a way that when added to 6x, the total is 10.
Step-by-step explanation:
To find the missing value in the equation 6x + ____ = 10, we need to isolate the variable x. First, we move the term involving x to the other side by subtracting it from both sides of the equation. Here is a step-by-step process:
- Write down the original equation: 6x + ____ = 10.
- Subtract 6x from both sides to isolate the blank: ____ = 10 - 6x.
- Simplify the right-hand side to find the value that will complete the equation.
- Since there is no further information, we would usually leave the answer as 10 - 6x.
However, if the blank is filled with a specific number, then that number plus 6x should equal 10. For example, if the blank were 4, the equation would be 6x + 4 = 10, and you would subtract 4 from both sides to solve for x, which would be x = 1.