x + (x + 2) = 156 → 2x + 2 = 156 → 2x = 154 → x = <<154 / 2 = 77>>77
How to Solve the Equation x + (x + 2) = 156 Step-by-Step | Find x = 77
Solving equations is a fundamental skill in algebra, but mastering step-by-step reasoning ensures you never miss a detail. One common equation many students encounter is:
x + (x + 2) = 156
Whether you’re a student learning math, a parent helping with homework, or someone brushing up on algebra, understanding how to solve this equation correctly is essential — and this breakdown simplifies it clearly and thoroughly.
Step 1: Simplify the Left Side
Start by expanding and combining like terms on the left-hand side:
\[x + (x + 2) = x + x + 2 = 2x + 2\]
So the equation becomes:2x + 2 = 156
Step 2: Isolate the Term with x
Subtract 2 from both sides to eliminate the constant term on the left:
\[2x + 2 - 2 = 156 - 2\]\[2x = 154\]
Step 3: Solve for x
Now divide both sides by 2 to solve for x:
\[x = \frac{154}{2} = 77\]
Final Answer
\[\boxed{x = 77}\]
Why Understanding Each Step Matters
Breaking this equation into clear steps helps prevent mistakes, whether you’re solving by hand or using a calculator. The key takeaways are:
- Combine like terms to simplify expressions- Always isolate the variable term on one side- Use inverse operations to solve for x
This method applies to many linear equations and builds confidence in tackling more complex algebraic problems.
In summary:x + (x + 2) = 156 → 2x + 2 = 156 → 2x = 154 → x = 77Mastering such equations strengthens algebraic thinking — and x = 77 is the correct solution!
