Solving the Equation: 4+2p=10 Left(Frac{3}{5}p-2 Right)
In this article, we will solve the equation 4+2p=10 left(frac{3}{5}p-2 right) step by step.
Step 1: Simplify the Right-Hand Side
The right-hand side of the equation contains a fraction and parentheses. To simplify it, we can start by evaluating the fraction:
frac{3}{5}p = 0.6p
Now, substitute this value back into the equation:
4+2p=10(0.6p-2)
Step 2: Distribute the 10
Distribute the 10 to the terms inside the parentheses:
4+2p=6p-20
Step 3: Combine Like Terms
Combine the like terms on the right-hand side of the equation:
4+2p=6p-20
Step 4: Isolate the Variable
To isolate the variable p, we can subtract 4 from both sides of the equation:
2p=6p-24
Subtract 6p from both sides:
-4p=-24
Step 5: Solve for p
Divide both sides by -4:
p=6
Therefore, the value of p is 6.
Conclusion
In this article, we solved the equation 4+2p=10 left(frac{3}{5}p-2 right) and found that the value of p is 6.
