Solve 3x - 7 = 14
Understand the Problem
The question asks us to solve a simple linear equation for x. We will isolate x by performing algebraic operations on both sides of the equation.
Answer
$x = 7$
Answer for screen readers
$x = 7$
Steps to Solve
- Add 7 to both sides of the equation
To isolate the term with $x$, add 7 to both sides of the equation:
$3x - 7 + 7 = 14 + 7$
This simplifies to:
$3x = 21$
- Divide both sides by 3
To solve for $x$, divide both sides of the equation by 3:
$\frac{3x}{3} = \frac{21}{3}$
This simplifies to:
$x = 7$
$x = 7$
More Information
The value of $x$ that satisfies the equation $3x - 7 = 14$ is $7$. When $x=7$, $3x - 7 = 3(7) - 7 = 21 - 7 = 14$, which confirms the solution.
Tips
A common mistake is to perform the operations in the wrong order. For example, dividing by 3 before adding 7. Remember to follow the order of operations in reverse (PEMDAS/BODMAS). Another common mistake is to only perform the operation on one side of the equation, which will make it unbalanced.
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