Solving the Equation: 0.4x + 2 = 0.3x
In this article, we will solve the linear equation 0.4x + 2 = 0.3x. This equation involves decimals and variables, and we will use basic algebraic operations to find the value of x.
Step 1: Subtract 0.3x from both sides
To start, we will subtract 0.3x from both sides of the equation. This will help us to isolate the term with the variable x:
0.4x + 2 = 0.3x
Subtracting 0.3x from both sides:
0.4x - 0.3x + 2 = 0
This simplifies to:
0.1x + 2 = 0
Step 2: Subtract 2 from both sides
Next, we will subtract 2 from both sides of the equation to get rid of the constant term:
0.1x + 2 = 0
Subtracting 2 from both sides:
0.1x = -2
Step 3: Divide both sides by 0.1
Finally, we will divide both sides of the equation by 0.1 to solve for x:
0.1x = -2
Dividing both sides by 0.1:
x = -2/0.1
x = -20
Solution
Therefore, the value of x is -20. We have successfully solved the equation 0.4x + 2 = 0.3x.
