Final answer:
The value of x in the equation 2x+5=12 is 3.5. The equation is solved by first subtracting 5 from both sides, resulting in 2x=7, and then dividing by 2 to find that x equals 3.5.
Step-by-step explanation:
To solve the equation 2x+5=12 for x, we use algebraic methods to isolate the variable x on one side of the equation. Here are the steps we'll follow:
- Subtract 5 from both sides of the equation to get 2x = 7.
- Divide both sides by 2 to solve for x, which gives us x = 3.5.
Thus, the value of x in the equation 2x+5=12 is 3.5.
Now let's address the information provided which seems to involve various other mathematical examples, although not directly related to the initial question:
- Setting up a proportion like 1 foot/12 inches = 12 feet/x inches and cross multiplying does indeed solve for x in terms of unit conversion.
- The information about an unknown distribution with a mean of 12 and a standard deviation of one, and a sample size of 25, refers to statistical concepts.
- Involving quadratic equations and the quadratic formula is a method to solve for x when the equation is in the form of ax² + bx + c = 0.
However, these examples are not necessary for solving our initial simple linear equation.