Cal11 calculator
Search calculator...

4x 2 5x 12 0 Calculator

Reviewed by Calculator Editorial Team

This calculator solves the linear equation 4x + 2 = 5x - 12 + 0. Learn how to solve such equations step by step with our guide.

How to Solve 4x + 2 = 5x - 12 + 0

Solving linear equations is a fundamental skill in algebra. Here's how to solve the equation 4x + 2 = 5x - 12 + 0:

Formula Used

To solve for x in the equation 4x + 2 = 5x - 12 + 0:

  1. Subtract 4x from both sides: 2 = x - 12 + 0
  2. Add 12 to both sides: 14 = x

The solution to this equation is x = 14.

Step-by-Step Solution

Let's break down the solution process:

  1. Step 1: Subtract 4x from both sides

    Start with the original equation:

    4x + 2 = 5x - 12 + 0

    Subtract 4x from both sides:

    2 = x - 12 + 0

  2. Step 2: Add 12 to both sides

    Now we have:

    2 = x - 12 + 0

    Add 12 to both sides:

    14 = x

Therefore, the solution is x = 14.

Worked Example

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

Example Problem

Solve for x in the equation 3x + 5 = 7x - 8 + 0.

  1. Step 1: Subtract 3x from both sides

    5 = 4x - 8 + 0

  2. Step 2: Add 8 to both sides

    13 = 4x

  3. Step 3: Divide both sides by 4

    x = 13/4 or 3.25

This example shows that the solution process is consistent across similar equations.

Frequently Asked Questions

What is a linear equation?
A linear equation is an equation that produces a straight line when graphed. It has the form ax + b = cx + d.
How do I know if an equation is linear?
An equation is linear if it has no exponents (like x²) and no variables in the denominator. The highest power of x should be 1.
What if I get stuck solving an equation?
Double-check each step to ensure you're performing the correct operations. If you're still stuck, try working through a similar example.
Can I solve equations with fractions?
Yes, you can solve equations with fractions by finding a common denominator or by multiplying both sides by the denominator.
What if I get a negative solution?
A negative solution is perfectly valid. It simply means the value of x is in the negative direction on the number line.