Algebra

4x+14=2(x+14)

Step-by-step solution with explanation

Final Answer

Step-by-step solution

1

Write out the original equation

We start by writing the equation clearly so we can see what we need to solve.
2

Distribute the 2 on the right side

Multiply 2 by each term inside the parentheses: and .
3

Subtract 2x from both sides

We move the x terms to one side by subtracting from both sides. This keeps the equation balanced.
4

Subtract 14 from both sides

We isolate the x term by subtracting 14 from both sides. Now only the variable term is on the left.
5

Divide both sides by 2

Dividing both sides by 2 gives us the value of x. This is the one and only solution.

Understanding this problem

Learning Insight

This is a linear equation, meaning the variable x appears to the first power only. Linear equations have exactly one solution unless the variable cancels out completely (giving no solution or infinitely many). Here the x terms don't cancel, so we get a unique answer.

Quick Tip

After you find x, plug it back in to check: and . Both sides match, so you know you're right!

Common Mistake

Students often forget to distribute the 2 to BOTH terms inside the parentheses, writing instead of . Always multiply the outside number by every term inside.