%3D1-5-(2-4x).jpeg "0 5(8x+1)=1 5-(2-4x)")
Solving the Equation: 0.5(8x+1) = 1.5-(2-4x)
In this article, we will solve the equation 0.5(8x+1) = 1.5-(2-4x) step by step.
Step 1: Simplify the Left Side of the Equation
The left side of the equation is 0.5(8x+1). To simplify this, we can distribute the 0.5 to both terms inside the parentheses:
0.5(8x) + 0.5(1) = 4x + 0.5
So, the left side of the equation becomes 4x + 0.5.
Step 2: Simplify the Right Side of the Equation
The right side of the equation is 1.5-(2-4x). To simplify this, we can follow the order of operations (PEMDAS):
- Evaluate the expression inside the parentheses: 2-4x = -4x + 2
- Subtract the result from 1.5: = 1.5 - (-4x + 2) = 1.5 + 4x - 2 = -0.5 + 4x
So, the right side of the equation becomes -0.5 + 4x.
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
4x + 0.5 = -0.5 + 4x
Step 4: Solve for x
To solve for x, we can subtract 4x from both sides of the equation:
0.5 = -0.5 0 = -1
This equation is not true for any value of x. Therefore, there is no solution to the equation 0.5(8x+1) = 1.5-(2-4x).
