Short Answer
The process of solving the blank involves isolating it by subtracting 6x from both sides, resulting in the expression ____ = 10 – 6x. This can then be rewritten as either -6x + 10 or 10 – 6x, both of which are equivalent and correctly fill in the blank.
Step 1: Isolate the Blank
To solve for the blank in the equation, we will begin by isolating it on one side. This is achieved by subtracting 6x from both sides of the equation. The equation will transform into: ____ = 10 – 6x. This step is crucial as it allows us to express the blank in terms of the remaining equation.
Step 2: Rewrite the Expression
Next, we need to analyze the expression we obtained after isolating the blank. The expression can be rewritten in different forms. We can express it as:
- -6x + 10
- 10 – 6x
Step 3: Fill in the Blank
Finally, we fill in the blank with the appropriate expression derived from our calculations. The blank should be filled with either -6x + 10 or 10 – 6x. Both options convey the same value and satisfy the original equation, allowing us to complete the equation accurately.