What is the value of x in x/5 + 2 = 9?

Question image

Understand the Problem

The question is asking for the value of x in the equation (x/5) + 2 = 9. To solve it, we can isolate x by first subtracting 2 from both sides and then multiplying by 5.

Answer

The value of $x$ is $35$.
Answer for screen readers

The value of $x$ is $35$.

Steps to Solve

  1. Subtract 2 from both sides

To isolate the term with $x$, subtract 2 from both sides of the equation:

$$ \frac{x}{5} + 2 - 2 = 9 - 2 $$

This simplifies to:

$$ \frac{x}{5} = 7 $$

  1. Multiply both sides by 5

Next, to eliminate the fraction, multiply both sides by 5:

$$ 5 \cdot \frac{x}{5} = 5 \cdot 7 $$

This simplifies to:

$$ x = 35 $$

The value of $x$ is $35$.

More Information

The solution shows the step-by-step process of isolating $x$ in an algebraic equation. This type of equation is commonly seen in algebra, illustrating basic principles of balancing equations.

Tips

  • Forgetting to apply the same operation to both sides of the equation, leading to incorrect results. Always remember to perform the same operation to maintain balance.

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