2x + 30 = 11 Find x
Understand the Problem
The question is asking us to solve the equation 2x + 30 = 11 for the variable x. This involves isolating x to find its value.
Answer
$x = -\frac{19}{2}$ or $x = -9.5$.
Answer for screen readers
The value of $x$ is $-\frac{19}{2}$ or $-9.5$.
Steps to Solve
-
Subtract 30 from both sides
To isolate the term with $x$, we start by eliminating the constant on the left.
$$ 2x + 30 - 30 = 11 - 30 $$
This simplifies to:
$$ 2x = -19 $$ -
Divide by 2
Now, we need to solve for $x$ by dividing both sides by 2.
$$ \frac{2x}{2} = \frac{-19}{2} $$
This simplifies to:
$$ x = -\frac{19}{2} $$ -
Final Expression for x
Thus, the solution for $x$ is:
$$ x = -9.5 $$
The value of $x$ is $-\frac{19}{2}$ or $-9.5$.
More Information
The equation represents a simple linear equation in one variable. Solving for $x$ gives useful insights into situations modeled by linear relationships, such as balance in equations.
Tips
- Forgetting to perform the same operation on both sides of the equation.
- Miscalculating the subtraction step, leading to incorrect values.
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