Question

Solve the equation. $$2 x+7=15$$

Short answer

The solution to the equation is \(x = 4\).

Step-by-step solution

Identify the Equation

The first step is to identify the equation to be solved which is \(2x + 7 = 15\)

Subtract 7 from Both Sides

To isolate \(x\), we need to get rid of '+7' on the left side. We'll do this by subtracting 7 from both sides of the equation. So the equation becomes \(2x + 7 - 7 = 15 - 7\), which simplifies to \(2x = 8\).

Divide Both Sides by 2

Next, we see that \(x\) is being multiplied by 2. To get \(x\) alone, we'll need to cancel out this multiplication by dividing both sides of the equation by 2. This results in the equation \(2x/2 = 8/2\), which simplifies to \(x = 4\).