6(2p+1)=5(5p+9)

Solution for 6(2p+1)=5(5p+9) equation:

Simplifying
6(2p + 1) = 5(5p + 9)

Reorder the terms:
6(1 + 2p) = 5(5p + 9)
(1 * 6 + 2p * 6) = 5(5p + 9)
(6 + 12p) = 5(5p + 9)

Reorder the terms:
6 + 12p = 5(9 + 5p)
6 + 12p = (9 * 5 + 5p * 5)
6 + 12p = (45 + 25p)

Solving
6 + 12p = 45 + 25p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-25p' to each side of the equation.
6 + 12p + -25p = 45 + 25p + -25p

Combine like terms: 12p + -25p = -13p
6 + -13p = 45 + 25p + -25p

Combine like terms: 25p + -25p = 0
6 + -13p = 45 + 0
6 + -13p = 45

Add '-6' to each side of the equation.
6 + -6 + -13p = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -13p = 45 + -6
-13p = 45 + -6

Combine like terms: 45 + -6 = 39
-13p = 39

Divide each side by '-13'.
p = -3

Simplifying
p = -3