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Chapter 15: Problem 1

Solve. $$ -6+x=10 $$

Short Answer

Expert verified
x = 16

Step by step solution

01

Isolate the variable x

To isolate the variable x, add 6 to both sides of the equation. This balances the equation and helps to get x alone on one side.
02

Perform the addition

Adding 6 to both sides of the equation: -6 + x + 6 = 10 + 6
03

Simplify both sides

On the left side, -6 and +6 cancel each other out, leaving just x. On the right side, add up 10 + 6. x = 16

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolating the Variable
When solving any linear equation, the first step is often to isolate the variable you are solving for, in this case, x. Isolating the variable means getting it alone on one side of the equation. To do this, you perform operations that simplify the equation without changing its equality.
Balancing Equations
Balancing equations is an essential concept in algebra. It ensures that both sides of the equation remain equal while performing operations. Think of an old-fashioned scale; to keep it balanced, whatever you do to one side, you must do to the other.
Simplifying Equations
After isolating the variable and balancing the equation, the final step is to simplify both sides to arrive at the solution. Simplification involves performing the arithmetic operations and reducing the equation to a simpler form.

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