Step-by-Step: Solve 2x + 5 for x

Let's explore the components of a linear equation.We'll examine the equation two x plus five.Every linear equation has distinct parts that work together.First, we have the coefficient two, which tells us how many times to use x.Next is our variable x, which represents the unknown value we're trying to find.Finally, we have the constant term five, which is added to our two x.Let's understand what two x really means.When we write two x, we mean x plus x, or two copies of x.So our complete expression, two x plus five, means we take two copies of x and add five to the result.To solve for x, we need to first deal with the constant term positive five.We subtract five from both sides of the equation to maintain equality.Think of this like a balanced scale. Whatever we do to one side, we must do to the other to keep it balanced.When we subtract five from both sides, it's like removing the same weight from each side of the scale.After subtracting five from both sides, our equation simplifies to two x equals y minus five.We've successfully isolated the term containing x on the left side of the equation.Now that we have two x equals y minus five, we need to divide both sides by two to isolate x.When we divide both sides by two, we create fractions. The left side becomes two x over two, and the right side becomes y minus five over two.Two x divided by two simplifies to just x, giving us our solution: x equals y minus five over two.Let's verify our solution works by trying a specific value. Let's use y equals fifteen.First, we substitute fifteen for y in our equation.Fifteen minus five equals ten.Ten divided by two equals five, so x equals five.Let's check our work by plugging x equals five back into the original equation.We substitute five for x.Two times five equals ten.Ten plus five equals fifteen.Which equals y, confirming our solution is correct!Therefore, we have successfully solved for x, finding that x equals y minus five over two.