5p + 8 = 7p + 2 (Finding Common Denominators)

Simplifying 7p + 2 = 5p + 8 Reorder the terms: 2 + 7p = 5p + 8 Reorder the terms: 2 + 7p = 8 + 5p Solving 2 + 7p = 8 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 7p + - 5p = 8 + 5p + - 5p

Answer is:

5p + 8 = 7p + 2

Step 1: Subtract 7p from both sides. 5p + 8 - 7p = 7p + 2 - 7p - 2p + 8 = 2 Step 2: Subtract 8 from both sides. - 2p + 8 - 8 = 2-8 - 2p = - 6 Step 3: Divide both sides by - 2. - 2p - 2 = - 6 - 2 p=3