Solving the Equation 8x 2x - 10 30: A Comprehensive Guide for SEO
In this article, we will explore the solution to the equation 8x 2x - 10 30. This step-by-step guide is designed to help students and educators alike understand how to solve similar linear equations using various methods. Additionally, the content has been optimized for SEO, ensuring it ranks well in search engines like Google. Let's dive in!
Introduction to Linear Equations
A linear equation is an equation that involves variables to the first degree and can be written in the form of ax b c, where a, b, and c are constants. The goal is to find the value of x that makes the equation true.
Method 1: Isolating Variables and Solving the Equation
For the equation 8x 2x - 10 30, we begin by combining the like terms on the left side of the equation:
Merge the terms involving x:8x 2x 1
Move the constant term to the right side of the equation:1 - 10 30
Add 10 to both sides of the equation to isolate the term with x:1 - 10 10 30 10
1 40
Divide both sides by 10:x 4
Method 2: Simplifying the Equation Directly
Another approach involves directly simplifying the equation:
Merge like terms on the left side:8x 2x - 10 30
1 - 10 30
Add 10 to both sides:1 - 10 10 30 10
1 40
Divide both sides by 10:x 4
Verification of the Solution
To verify the solution, we substitute x 4 back into the original equation:
Substitute x 4 in the equation 8x 2x - 10 30:LHS 8(4) 2(4) - 10
32 8 - 10
40 - 10
30
The Left Hand Side (LHS) equals the Right Hand Side (RHS) (30 30).This confirms that x 4 is the correct solution.
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