if 3 is added to a number and this sum is doubled, the result is two more than the number. Find the number.
2(x + 3)= x + 2
2x + 6 = x + 2
x = -4
thanks. its been a long time for math.
To find the number, let's represent it as 'x'.
According to the problem, "if 3 is added to a number," we can express this as:
x + 3
"this sum is doubled" means we multiply it by 2:
2(x + 3)
"The result is two more than the number" can be written as:
2(x + 3) = x + 2
Now let's solve the equation:
Expanding the left side:
2x + 6 = x + 2
Moving x to the left side:
2x - x = 2 - 6
x = -4
Therefore, the number is -4.