x/x + 12 -1 = 1/2x
To solve the equation (x/x + 12 - 1 = 1/2x), we need to simplify the expression and isolate the variable 'x' on one side.
First, let's simplify the expression step by step:
x/x + 12 - 1 = 1/2x
Since any number divided by itself is 1, the x/x term simplifies to 1:
1 + 12 - 1 = 1/2x
Now, we can combine like terms:
12 = 1/2x
To isolate the variable 'x', we need to get rid of the fraction (1/2) on the right side. We can do this by multiplying both sides of the equation by 2:
2 * 12 = 2 * (1/2x)
24 = (2 * 1)/x
The 2 cancels out with the 1:
24 = 2/x
To solve for 'x', we can cross multiply. Multiplying the numerator of the left side with the denominator of the right side and vice versa:
24 * x = 2
24x = 2
Now, divide both sides of the equation by 24 to solve for 'x':
(24x)/24 = 2/24
x = 1/12
Therefore, the solution to the equation x/x + 12 - 1 = 1/2x is x = 1/12.