When 12 is subtracted from a certain number, the result is equal to 25 added to twice the number. Find the number
Let's say the certain number is x.
According to the problem, the equation can be written as:
x - 12 = 25 + 2x
Now, we can solve the equation to find the value of x.
First, we can simplify the equation by subtracting x from both sides:
-12 = 25 + x
Next, we can subtract 25 from both sides:
-12 - 25 = x
-37 = x
Therefore, the certain number is -37.
To find the number, let's use algebraic expressions. Let's say the certain number is represented by "x".
According to the problem, "12 is subtracted from a certain number" can be written as x - 12.
And "the result is equal to 25 added to twice the number" can be written as 25 + 2x.
Now we can set up an equation using these expressions:
x - 12 = 25 + 2x
To solve for x, we want to isolate the variable on one side of the equation.
Let's start by moving the terms with x to one side:
x - 2x = 25 + 12
Simplifying this equation:
-x = 37
Now, we can solve for x by multiplying both sides of the equation by -1 to cancel out the negative sign:
x = -37
Therefore, the certain number is -37.
Let's assume the certain number is represented by 'x'.
According to the problem, when 12 is subtracted from the certain number, the result is equal to 25 added to twice the number.
Mathematically, this can be written as: x - 12 = 25 + 2x
To solve for 'x', we can isolate the variable on one side of the equation and simplify:
x - 2x = 25 + 12
-x = 37
Now, we divide both sides of the equation by -1 to solve for 'x':
x = -37
Therefore, the certain number is -37.