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

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

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

Reorder the terms:
-3 + 2p + 3p = 1p + 2(1 + p)

Combine like terms: 2p + 3p = 5p
-3 + 5p = 1p + 2(1 + p)
-3 + 5p = 1p + (1 * 2 + p * 2)
-3 + 5p = 1p + (2 + 2p)

Reorder the terms:
-3 + 5p = 2 + 1p + 2p

Combine like terms: 1p + 2p = 3p
-3 + 5p = 2 + 3p

Solving
-3 + 5p = 2 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-3 + 5p + -3p = 2 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-3 + 2p = 2 + 3p + -3p

Combine like terms: 3p + -3p = 0
-3 + 2p = 2 + 0
-3 + 2p = 2

Add '3' to each side of the equation.
-3 + 3 + 2p = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 2p = 2 + 3
2p = 2 + 3

Combine like terms: 2 + 3 = 5
2p = 5

Divide each side by '2'.
p = 2.5

Simplifying
p = 2.5