Algebra

2x+5=14

Step-by-step solution with explanation

Final Answer

Step-by-step solution

Write down the equation clearly

We start by looking at what we need to solve. Our goal is to find the value of x that makes this equation true.

Subtract 5 from both sides

We subtract 5 from both sides to start isolating x. Whatever we do to one side, we must do to the other to keep the equation balanced.

Simplify both sides

On the left, 5 - 5 = 0, so we are left with 2x. On the right, 14 - 5 = 9.

Divide both sides by 2

We divide both sides by 2 to get x completely alone. Dividing by 2 is the opposite of multiplying by 2.

Write the final value of x

9 divided by 2 equals 4.5, so x = 4.5. This is the one and only solution to this equation.

Understanding this problem

Learning Insight

This is a two-step linear equation. The big idea is 'inverse operations' — you undo addition with subtraction, and you undo multiplication with division. Working in reverse order of PEMDAS helps you peel away operations one layer at a time until x is alone.

Quick Tip

To check your answer, just plug x = 4.5 back in: 2(4.5) + 5 = 9 + 5 = 14. If both sides match, you got it right. Always verify in 5 seconds!

Common Mistake

A common mistake is subtracting 5 from only one side of the equation — for example, writing 2x = 14 - 5 but forgetting that the left side must also change. Both sides must always be treated equally.