Solve the equation for x: x/8 - 2 = -7.
Understand the Problem
The question is asking to solve the given equation for the variable x, specifically the equation x/8 - 2 = -7.
Answer
The value of $x$ is $-40$.
Answer for screen readers
The solution for $x$ is $-40$.
Steps to Solve
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Add 2 to both sides of the equation
To isolate the term with $x$, first add 2 to both sides of the equation: $$ \frac{x}{8} - 2 + 2 = -7 + 2 $$
This simplifies to:
$$ \frac{x}{8} = -5 $$ -
Multiply both sides by 8
Next, to eliminate the fraction, multiply both sides by 8: $$ 8 \cdot \frac{x}{8} = -5 \cdot 8 $$
This simplifies to:
$$ x = -40 $$
The solution for $x$ is $-40$.
More Information
The equation $\frac{x}{8} - 2 = -7$ can be solved step by step to isolate $x$. By performing basic operations like addition and multiplication, we can find that $x = -40$.
Tips
- Forgetting to change the sign when adding or subtracting can lead to an incorrect solution. Always double-check each step to ensure operations are applied correctly.
- Confusing the order of operations, especially when dealing with fractions, can result in mistakes. Ensure to isolate $x$ properly before performing multiplication.
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