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Algebra Calculator Solve The Equation 9x X-4 0

Reviewed by Calculator Editorial Team

This algebra calculator helps you solve the equation 9x - x - 4 = 0. Learn how to simplify and find the solution step by step.

How to Solve the Equation 9x - x - 4 = 0

Solving the equation 9x - x - 4 = 0 involves combining like terms and isolating the variable. Here's a quick guide to solving it:

  1. Combine the like terms (9x and -x) to simplify the equation.
  2. Move the constant term (-4) to the other side of the equation.
  3. Solve for x by dividing both sides by the coefficient of x.

Formula: 9x - x - 4 = 0

Simplified: (9x - x) - 4 = 0 → 8x - 4 = 0

Solution: x = 4/8 → x = 0.5

The solution to the equation is x = 0.5. Use our calculator to verify this or try similar equations.

Step-by-Step Solution

Let's break down the solution process for the equation 9x - x - 4 = 0:

  1. Combine Like Terms

    First, combine the terms with x:

    9x - x = 8x

    Now the equation becomes: 8x - 4 = 0

  2. Isolate the Variable Term

    Move the constant term (-4) to the other side of the equation:

    8x - 4 + 4 = 0 + 4

    This simplifies to: 8x = 4

  3. Solve for x

    Divide both sides by 8 to solve for x:

    x = 4 / 8

    x = 0.5

Note: Always double-check your calculations to ensure accuracy.

Worked Example

Let's solve a similar equation to reinforce your understanding:

Solve 7x - 2x - 3 = 0

  1. Combine like terms: 7x - 2x = 5x → 5x - 3 = 0
  2. Move the constant: 5x = 3
  3. Solve for x: x = 3/5 → x = 0.6

The solution is x = 0.6. Practice with different equations to build your algebra skills.

Frequently Asked Questions

What is the solution to 9x - x - 4 = 0?

The solution is x = 0.5. This is found by combining like terms and isolating the variable.

How do I solve linear equations with one variable?

Follow these steps: combine like terms, move constants to one side, and isolate the variable by dividing.

Can I use this calculator for other similar equations?

Yes, our algebra calculator can solve equations of the form ax - b = 0. Just enter your coefficients.

What if the equation has no solution?

An equation like 0x = 5 has no solution because it's impossible to satisfy.