Solving the Equation: 6x + 1/3 + 1 = x - 3/6
In this article, we will solve the given equation step by step.
The Equation:
6x + 1/3 + 1 = x - 3/6
Step 1: Simplify the Equation
To simplify the equation, we will start by combining the like terms.
6x + 1/3 + 1 = x - 3/6
First, let's combine the fractions:
1/3 + (-3/6) = 2/6 + (-3/6) = -1/6
So, the equation becomes:
6x + 1 = x - 1/6
Step 2: Isolate the Variable (x)
Now, let's isolate the variable x.
6x - x = -1/6 - 1
This simplifies to:
5x = -7/6
Step 3: Solve for x
To solve for x, we will multiply both sides of the equation by 6 to eliminate the fraction:
5x = -7/6
Multiplying both sides by 6:
30x = -7
Dividing both sides by 5:
x = -7/30
x = -7/30
The Solution:
Therefore, the solution to the equation 6x + 1/3 + 1 = x - 3/6 is x = -7/30.
