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

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

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

Reorder the terms:
2(-3 + p) = 3(p + -7)
(-3 * 2 + p * 2) = 3(p + -7)
(-6 + 2p) = 3(p + -7)

Reorder the terms:
-6 + 2p = 3(-7 + p)
-6 + 2p = (-7 * 3 + p * 3)
-6 + 2p = (-21 + 3p)

Solving
-6 + 2p = -21 + 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.
-6 + 2p + -3p = -21 + 3p + -3p

Combine like terms: 2p + -3p = -1p
-6 + -1p = -21 + 3p + -3p

Combine like terms: 3p + -3p = 0
-6 + -1p = -21 + 0
-6 + -1p = -21

Add '6' to each side of the equation.
-6 + 6 + -1p = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = -21 + 6
-1p = -21 + 6

Combine like terms: -21 + 6 = -15
-1p = -15

Divide each side by '-1'.
p = 15

Simplifying
p = 15