if 7 is added to a number and the sum is doubled, the result is 19 less than the number
Just translate it to Math
2(x+7) < x by 19
2x + 14 = x-19
x = -33
check:
add 7 to -33 ---> -26
double it -----> -52
19 less than the number = -33-19 = -52
YEAH
Let's break down the information given in the question to find the answer.
Let's assume the unknown number is represented by "x".
According to the question, "7 is added to a number." This can be written as: x + 7.
Then, "the sum is doubled." Doubling means multiplying by 2, so the expression becomes: 2(x + 7).
Finally, "the result is 19 less than the number." This can be written as: x - 19.
Putting it all together, we have the equation: 2(x + 7) = x - 19.
Now we can solve this equation to find the value of x.
Expanding the expression on the left side, we get: 2x + 14 = x - 19.
Next, we can simplify the equation by subtracting x from both sides: 2x - x + 14 = -19.
This simplifies to: x + 14 = -19.
To isolate x, we subtract 14 from both sides: x = -19 - 14.
Simplifying, we have: x = -33.
Therefore, the unknown number is -33.