Final answer:
The equation is 2(c - 3) = 7 and the value of c is 6.5.
Step-by-step explanation:
The equation for the sentence 'Twice the difference of a number and 3 is equal to 7' can be written as: 2(c - 3) = 7.
Here, c represents the unknown number. To solve this equation, you would first distribute the 2 to the terms inside the parentheses: 2c - 6 = 7. Then, you would isolate the variable c by adding 6 to both sides of the equation: 2c = 13. Finally, you can solve for c by dividing both sides by 2: c = 13/2 or c = 6.5.
Therefore, the equation is 2(c - 3) = 7 and the value of c is 6.5.
Learn more about Translating sentences into equations