2(p+5)-7=3(p-2)

Solution for 2(p+5)-7=3(p-2) equation:

Simplifying
2(p + 5) + -7 = 3(p + -2)

Reorder the terms:
2(5 + p) + -7 = 3(p + -2)
(5 * 2 + p * 2) + -7 = 3(p + -2)
(10 + 2p) + -7 = 3(p + -2)

Reorder the terms:
10 + -7 + 2p = 3(p + -2)

Combine like terms: 10 + -7 = 3
3 + 2p = 3(p + -2)

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

Solving
3 + 2p = -6 + 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 + 2p + -3p = -6 + 3p + -3p

Combine like terms: 2p + -3p = -1p
3 + -1p = -6 + 3p + -3p

Combine like terms: 3p + -3p = 0
3 + -1p = -6 + 0
3 + -1p = -6

Add '-3' to each side of the equation.
3 + -3 + -1p = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = -6 + -3
-1p = -6 + -3

Combine like terms: -6 + -3 = -9
-1p = -9

Divide each side by '-1'.
p = 9

Simplifying
p = 9