How to solve linear equation in one variable?

Understand the Problem

The question is asking for a method or process to solve a linear equation that contains one variable. This typically involves isolating the variable on one side of the equation to find its value.

Answer

$x = 3$

Steps to Solve

Identify the equation First, write down the linear equation you want to solve, for example:

$$ 3x + 5 = 14 $$

Isolate the variable term To isolate the variable $x$, subtract the constant term from both sides of the equation. In our example, we will subtract 5 from both sides:

$$ 3x + 5 - 5 = 14 - 5 $$

Which simplifies to:

$$ 3x = 9 $$

Solve for the variable Now divide both sides of the equation by the coefficient of the variable, which is 3 in this example:

$$ \frac{3x}{3} = \frac{9}{3} $$

This gives:

$$ x = 3 $$

The solution to the equation is $x = 3$.

More Information

Finding the value of $x$ helps you understand the relationship between the variables in the equation. Linear equations are fundamental in algebra and can be used in various real-life situations, from calculating distances to predicting trends.

Tips

Forgetting to perform the same operation on both sides of the equation. Always ensure that whatever you do to one side, you do to the other.
Failing to simplify the equation properly. Make sure to combine like terms and perform operations accurately.

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