%3D-x%2B14%2B4%2F5x.jpeg "1/5(x+20)=-x+14+4/5x")
Solving the Equation: 1/5(x+20)=-x+14+4/5x
In this article, we will solve the equation 1/5(x+20)=-x+14+4/5x.
Step 1: Simplify the Left-Hand Side
First, let's simplify the left-hand side of the equation:
1/5(x+20) = 1/5x + 4
Step 2: Simplify the Right-Hand Side
Next, let's simplify the right-hand side of the equation:
-x + 14 + 4/5x = -x + 14 + 0.8x
Step 3: Combine Like Terms
Now, let's combine like terms on both sides of the equation:
1/5x + 4 = -x + 14 + 0.8x
Step 4: Isolate x
Our goal is to isolate x. Let's start by adding x to both sides of the equation:
1.2x + 4 = 14 + 0.8x
Subtract 0.8x from both sides:
0.4x + 4 = 14
Subtract 4 from both sides:
0.4x = 10
Divide both sides by 0.4:
x = 25
Conclusion
Therefore, the value of x is 25.
