x + (x + 2) = 156 → 2x + 2 = 156 → 2x = 154 → x = <<154 / 2 = 77>>77 - Coaching Toolbox
How to Solve the Equation x + (x + 2) = 156 Step-by-Step | Find x = 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
Understanding the Context
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:
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Key Insights
\[
x + (x + 2) = x + x + 2 = 2x + 2
\]
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:
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\[
2x + 2 - 2 = 156 - 2
\]
\[
2x = 154
\]
Step 3: Solve for x
Now divide both sides by 2 to solve for x:
\[
x = \frac{154}{2} = 77
\]
Final Answer
\[
\boxed{x = 77}
\]
