2(2p-3)=5(p-1)

Solution for 2(2p-3)=5(p-1) equation:

Simplifying
2(2p + -3) = 5(p + -1)

Reorder the terms:
2(-3 + 2p) = 5(p + -1)
(-3 * 2 + 2p * 2) = 5(p + -1)
(-6 + 4p) = 5(p + -1)

Reorder the terms:
-6 + 4p = 5(-1 + p)
-6 + 4p = (-1 * 5 + p * 5)
-6 + 4p = (-5 + 5p)

Solving
-6 + 4p = -5 + 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.
-6 + 4p + -5p = -5 + 5p + -5p

Combine like terms: 4p + -5p = -1p
-6 + -1p = -5 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + -1p = -5 + 0
-6 + -1p = -5

Add '6' to each side of the equation.
-6 + 6 + -1p = -5 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = -5 + 6
-1p = -5 + 6

Combine like terms: -5 + 6 = 1
-1p = 1

Divide each side by '-1'.
p = -1

Simplifying
p = -1