%3D1%2F10(x%2B6).jpeg "1/5(x-2)=1/10(x+6)")
Solving the Equation 1/5(x-2)=1/10(x+6)
In this article, we will solve the equation 1/5(x-2)=1/10(x+6) step by step.
Step 1: Simplify the Equation
First, we will simplify the equation by multiplying both sides by the least common multiple of 5 and 10, which is 10.
10(1/5(x-2)) = 10(1/10(x+6))
This gives us:
2(x-2) = x+6
Step 2: Expand the Equation
Now, let's expand the equation by multiplying the terms inside the parentheses.
2x - 4 = x + 6
Step 3: Move All Terms to One Side
Next, we will move all terms to one side of the equation by subtracting x from both sides and adding 4 to both sides.
2x - x - 4 + 4 = x - x + 6 + 4
This simplifies to:
x = 10
Conclusion
Therefore, the value of x is 10. We can plug this value back into the original equation to verify that it is true.
By solving the equation 1/5(x-2)=1/10(x+6), we have found the value of x to be 10.
