Solving the Equation: 4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
In this article, we will solve the equation 4(3p+2)-5(6p-1)=2(p-8)-6(7p-4) step by step.
Step 1: Expand the Equation
Let's start by expanding the equation using the distributive property:
4(3p+2) = 12p + 8 -5(6p-1) = -30p + 5 2(p-8) = 2p - 16 -6(7p-4) = -42p + 24
Now, let's rewrite the equation:
12p + 8 - 30p + 5 = 2p - 16 - 42p + 24
Step 2: Combine Like Terms
Next, we will combine like terms on both sides of the equation:
-18p + 13 = -40p + 8
Step 3: Add 40p to Both Sides
Now, let's add 40p to both sides of the equation to get:
22p + 13 = 8
Step 4: Subtract 13 from Both Sides
Subtract 13 from both sides of the equation:
22p = -5
Step 5: Divide by 22
Finally, divide both sides of the equation by 22:
p = -5/22
Therefore, the value of p is -5/22.
That's it! We have successfully solved the equation 4(3p+2)-5(6p-1)=2(p-8)-6(7p-4).
