Solving the Equation: 2(x+1) = 3+2x
In this article, we will solving the equation 2(x+1) = 3+2x. This is a simple linear equation that can be solved using basic algebraic operations.
Step 1: Expand the Left Side of the Equation
The left side of the equation is 2(x+1). We can expand this expression using the distributive property of multiplication over addition.
2(x+1) = 2x + 2
So, the equation becomes:
2x + 2 = 3 + 2x
Step 2: Subtract 2x from Both Sides of the Equation
To isolate the variable x, we can subtract 2x from both sides of the equation.
2x - 2x + 2 = 3 + 2x - 2x
This simplifies to:
2 = 3
Step 3: Solve for x
Since the equation 2 = 3 is not true, we can conclude that there is no solution for the equation 2(x+1) = 3+2x.
In other words, there is no value of x that can satisfy the equation.
Conclusion
The equation 2(x+1) = 3+2x has no solution. This means that the equation is a contradiction, and there is no value of x that can make the equation true.
