The Value of X Calculator helps you quickly solve different types of equations without doing manual algebra. Whether you're working on homework, checking calculations, or solving real-world math problems, this tool makes it simple.

It supports:

• Linear equations (ax + b = c)
• Proportions (a/b = c/x)
• Percentage equations (x% of a = b)
• Custom equations (user-defined expressions)

You’ll also see the equation used and the step-by-step solution, not just the final answer.

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How the Calculator Works

The calculator changes its input fields depending on the type of equation you select. Once you enter the values and click Calculate, it computes the value of x using the appropriate formula.

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1️⃣ Linear Equation (ax + b = c)

Formula Used:

$$x = \frac{c - b}{a}$$x=ac−b​

Example:

If:
2x + 5 = 13

Then:

x = (13 − 5) ÷ 2
x = 4

The calculator:

• Subtracts the constant (b) from c
• Divides by coefficient (a)
• Displays the result

⚠️ Note: The coefficient a cannot be zero, because division by zero is undefined.

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2️⃣ Proportion (a/b = c/x)

Formula Used:

$$x = \frac{b × c}{a}$$x=ab×c​

Example:

If:
3 / 4 = 6 / x

Then:

x = (4 × 6) ÷ 3
x = 8

The calculator cross-multiplies to solve for x.

⚠️ Denominators cannot be zero.

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3️⃣ Percentage Equation (x% of a = b)

Formula Used:

$$x = \frac{b}{a} × 100$$x=ab​×100

Example:

If:
x% of 200 = 50

Then:

x = (50 ÷ 200) × 100
x = 25%

This is useful for finding:

• What percent one number is of another
• Discount rates
• Tax rates
• Increase/decrease percentages

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4️⃣ Custom Equation

You can enter your own expression such as:

2x + 5
x^2 + 3x
10*x - 7

The calculator:

• Replaces x with trial values
• Uses a numerical approximation method
• Finds the value of x that makes the equation equal to the right side

Example:

If you enter:

Left side: 3*x + 2
Right side: 20

It finds:

x ≈ 6

⚠️ For multiplication, use *
⚠️ For powers, use ^
⚠️ Only use valid math expressions

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Key Features

✔ Multiple equation types
✔ Step-by-step explanation
✔ Automatic equation display
✔ Numerical solver for custom expressions
✔ Clean and simple interface
✔ Instant results

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When to Use This Calculator

• Algebra homework
• Test preparation
• Checking manual solutions
• Solving proportions in real-life problems
• Calculating percentages
• Quick math verification

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Example Problems You Can Solve

• 5x − 10 = 40
• 7 / 9 = 21 / x
• x% of 80 = 12
• 4*x + 3 = 27
• 2*x^2 + 5 = 45

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Important Notes

• Linear equations require a ≠ 0
• Proportions cannot have zero denominators
• Custom equations use numerical approximation
• Results are rounded to 4 decimal places

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Final Thoughts

The Value of X Calculator simplifies algebra and makes solving equations fast and accurate. Whether you're learning algebra or just need a quick solution, this tool gives you both the answer and the logic behind it.

Try different equation types and experiment with custom expressions to see how powerful and flexible it can be.