5p-3p-(p-4)=2(p-3)

Solution for 5p-3p-(p-4)=2(p-3) equation:

Simplifying
5p + -3p + -1(p + -4) = 2(p + -3)

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

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

Combine like terms: 5p + -3p = 2p
4 + 2p + -1p = 2(p + -3)

Combine like terms: 2p + -1p = 1p
4 + 1p = 2(p + -3)

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

Solving
4 + 1p = -6 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
4 + 1p + -2p = -6 + 2p + -2p

Combine like terms: 1p + -2p = -1p
4 + -1p = -6 + 2p + -2p

Combine like terms: 2p + -2p = 0
4 + -1p = -6 + 0
4 + -1p = -6

Add '-4' to each side of the equation.
4 + -4 + -1p = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = -6 + -4
-1p = -6 + -4

Combine like terms: -6 + -4 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10