3 (2p-1) = 5 (1-p) +3 what is x?
Answers
Answer:
Step-by-step explanation:
Simplifying
3(2p + -1) = 5(1 + -1p) + 3
Reorder the terms:
3(-1 + 2p) = 5(1 + -1p) + 3
(-1 * 3 + 2p * 3) = 5(1 + -1p) + 3
(-3 + 6p) = 5(1 + -1p) + 3
-3 + 6p = (1 * 5 + -1p * 5) + 3
-3 + 6p = (5 + -5p) + 3
Reorder the terms:
-3 + 6p = 5 + 3 + -5p
Combine like terms: 5 + 3 = 8
-3 + 6p = 8 + -5p
Solving
-3 + 6p = 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.
-3 + 6p + 5p = 8 + -5p + 5p
Combine like terms: 6p + 5p = 11p
-3 + 11p = 8 + -5p + 5p
Combine like terms: -5p + 5p = 0
-3 + 11p = 8 + 0
-3 + 11p = 8
Add '3' to each side of the equation.
-3 + 3 + 11p = 8 + 3
Combine like terms: -3 + 3 = 0
0 + 11p = 8 + 3
11p = 8 + 3
Combine like terms: 8 + 3 = 11
11p = 11
Divide each side by '11'.
p = 1
Simplifying
p = 1
Step-by-step explanation:
3(2p-1)=5(1-p)+3
6p-6=5-5p+3
change the side
6p+5p=5+6
11p=11
P=11/11
so,
P=1