To solve a linear equation, we want to isolate the variable (typically $x$) on one side of the equation. A linear equation typically takes the form:

$ax + b = c$

where:

• $a$, $b$, and $c$ are constants.
• $x$ is the variable.

Steps for Solving a Linear Equation

1. Simplify Both Sides: If there are any parentheses, distribute them. Also, combine like terms if necessary.
2. Isolate the Variable:
   • Move constants to the other side by adding or subtracting.
   • Move terms with $x$ to one side, if they're on both sides.
3. Solve for $x$: Divide or multiply to get $x$ by itself.

Example

Suppose we have the equation: $3x + 5 = 14$

Step 1: Subtract 5 from both sides: $3x = 9$

Step 2: Divide both sides by 3: $x = 3$

So, the solution is $x = 3$.

Would you like more details on solving different types of linear equations or have any specific equation in mind?

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Related Practice Questions

1. Solve $4x - 7 = 21$.
2. Find $x$ if $2x + 3 = 5x - 6$.
3. Solve $-2x + 8 = 10$.
4. Determine the value of $x$ in $7x + 4 = 5x + 12$.
5. If $6x - 9 = 0$, what is $x$?

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Tip: Always check your solution by plugging the value back into the original equation to verify it satisfies the equation.