twice the sum of a number and 3 is equal to three times the difference of the number and 9. find the number
2(x+3) = 3(x-9)
2x+6 = 3x-27
x = 33
Justin bieber lol I'm a belieber since 2009 💜 lmao why did I put this as an answer 😂
To find the number, let's translate the problem into an algebraic equation.
Let's represent the unknown number as 'x'.
According to the problem:
"Twice the sum of a number and 3 is equal to three times the difference of the number and 9."
The expression for this can be written as:
2(x + 3) = 3(x - 9)
Now, let's solve this equation step by step to find the value of 'x'.
Expanding both sides of the equation:
2x + 6 = 3x - 27
Moving all the terms with 'x' to one side and the constant terms to the other side:
2x - 3x = -27 - 6
Simplifying:
-x = -33
Multiplying both sides by -1 to isolate the variable:
x = 33
Therefore, the number is 33.