4p-6=7(p-3)-3(6-2p)

Solution for 4p-6=7(p-3)-3(6-2p) equation:

Simplifying
4p + -6 = 7(p + -3) + -3(6 + -2p)

Reorder the terms:
-6 + 4p = 7(p + -3) + -3(6 + -2p)

Reorder the terms:
-6 + 4p = 7(-3 + p) + -3(6 + -2p)
-6 + 4p = (-3 * 7 + p * 7) + -3(6 + -2p)
-6 + 4p = (-21 + 7p) + -3(6 + -2p)
-6 + 4p = -21 + 7p + (6 * -3 + -2p * -3)
-6 + 4p = -21 + 7p + (-18 + 6p)

Reorder the terms:
-6 + 4p = -21 + -18 + 7p + 6p

Combine like terms: -21 + -18 = -39
-6 + 4p = -39 + 7p + 6p

Combine like terms: 7p + 6p = 13p
-6 + 4p = -39 + 13p

Solving
-6 + 4p = -39 + 13p

Solving for variable 'p'.

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

Add '-13p' to each side of the equation.
-6 + 4p + -13p = -39 + 13p + -13p

Combine like terms: 4p + -13p = -9p
-6 + -9p = -39 + 13p + -13p

Combine like terms: 13p + -13p = 0
-6 + -9p = -39 + 0
-6 + -9p = -39

Add '6' to each side of the equation.
-6 + 6 + -9p = -39 + 6

Combine like terms: -6 + 6 = 0
0 + -9p = -39 + 6
-9p = -39 + 6

Combine like terms: -39 + 6 = -33
-9p = -33

Divide each side by '-9'.
p = 3.666666667

Simplifying
p = 3.666666667