Part 1: Write your equation The question is asking for you to put "twice the sum of a number and seven is three times the number" into math.
1) "is" means equal to, calling for the "=" sign 2) "a number" is what you're trying to find, aka the variable. Let's call this variable "n."
1) On the left of "is"/the equal sign, you have "twice the sum of a number and seven." That means two times (aka twice) the sum of the variable n (aka the number) and seven. In math, that would be: 2*(n + 7)
2) On the right of"is"/the equal sign, you have "three times the number." That means three times the variable n (aka the number). In math that would be: 3*n
3) Put that all together to get your final equation: 2(n + 7) = 3n
Part 2: Solve the equation for your number, aka "n" 1) Distribute the 2 to the n and the 7 using the distributive property 2(n + 7) = 3n 2*n + 2*7 = 3n 2n + 14 = 3n
2) Move everything with n to one side of the equal sign by subtracting 2n from both sides: 2n + 14 = 3n 14 = n
