5x - 3 = 3x + 5: Solving the Equation
In this article, we will solve the linear equation 5x - 3 = 3x + 5. To do so, we will use basic algebraic operations and properties of equality.
Step 1: Add 3 to Both Sides
First, we will add 3 to both sides of the equation to get rid of the negative term -3.
5x - 3 + 3 = 3x + 5 + 3
This simplifies to:
5x = 3x + 8
Step 2: Subtract 3x from Both Sides
Next, we will subtract 3x from both sides of the equation to isolate the term with the variable x.
5x - 3x = 8
This simplifies to:
2x = 8
Step 3: Divide Both Sides by 2
Finally, we will divide both sides of the equation by 2 to solve for x.
(2x) / 2 = 8 / 2
This simplifies to:
x = 4
Therefore, the value of x is 4.
Conclusion
In conclusion, we have successfully solved the equation 5x - 3 = 3x + 5 and found the value of x to be 4. This equation is a simple example of a linear equation, and by using basic algebraic operations, we can solve for the unknown variable.
