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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Solving Linear Equations - Algebra Study Guide</title>
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<body>
<header>
<h1>Solving Linear Equations</h1>
</header>
<nav>
<a href="algebra.html">Back to Algebra</a>
<a href="index.html">Back to Study Guide</a>
</nav>
<div class="container">
<h2>What is a Linear Equation?</h2>
<p>A <strong>linear equation</strong> is an equation where the highest power of the variable is 1. It has the form:</p>
<pre>ax + b = 0</pre>
<p>Where <b>a</b> and <b>b</b> are constants, and <b>x</b> is the variable.</p>
<h3>Steps to Solve a Linear Equation:</h3>
<div class="step">
<i class="fas fa-arrow-right"></i>
<div>
<h4>1. Move all terms with the variable to one side</h4>
<p>First, isolate the terms with <b>x</b> on one side of the equation.</p>
</div>
</div>
<div class="step">
<i class="fas fa-arrow-left"></i>
<div>
<h4>2. Move constant terms to the other side</h4>
<p>Next, move the constant term to the opposite side by subtracting it from both sides.</p>
</div>
</div>
<div class="step">
<i class="fas fa-equals"></i>
<div>
<h4>3. Solve for <b>x</b></h4>
<p>Finally, divide both sides by the coefficient of <b>x</b> to find the value of the variable.</p>
</div>
</div>
<h3>Example:</h3>
<div class="example-box">
<p><strong>Example 1: Solve <code>2x + 3 = 7</code></strong></p>
<pre>
Step 1: Move the constant term to the right side.
2x = 7 - 3
2x = 4
Step 2: Divide both sides by the coefficient of x (2).
x = 4 / 2
x = 2
</pre>
</div>
<h3>Try Solving It Yourself:</h3>
<p>Now, try solving this equation on your own:</p>
<pre>3x - 5 = 10</pre>
<a href="#" class="button">Click here for the solution</a>
</div>
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