Solve. Please show all of your work.
The sum of twice a number and 4 less than the number is the same as the difference between -32 and the number. What is the number?
2X + (X - 4) = 32 - X
2x+(x - 4)=32 - x
2x + x - 4 = 32 - x
3x+x=32+4
4x=36
x=36/4
x=9
To solve this problem, let's first identify the unknown number. Let's say the unknown number is represented by "x."
According to the problem, the sum of twice the number and 4 less than the number is equal to the difference between -32 and the number. This can be written as:
2x + (x - 4) = -32
To reorganize this equation, we combine like terms:
3x - 4 = -32
Next, we isolate the variable term by adding 4 to both sides of the equation:
3x = -28
Finally, we solve for x by dividing both sides of the equation by 3:
x = -28 / 3
Thus, the number is approximately equal to -9.333.