4(4p-1)-6(3p-1)=3(5-2p)

Solution for 4(4p-1)-6(3p-1)=3(5-2p) equation:

Simplifying
4(4p + -1) + -6(3p + -1) = 3(5 + -2p)

Reorder the terms:
4(-1 + 4p) + -6(3p + -1) = 3(5 + -2p)
(-1 * 4 + 4p * 4) + -6(3p + -1) = 3(5 + -2p)
(-4 + 16p) + -6(3p + -1) = 3(5 + -2p)

Reorder the terms:
-4 + 16p + -6(-1 + 3p) = 3(5 + -2p)
-4 + 16p + (-1 * -6 + 3p * -6) = 3(5 + -2p)
-4 + 16p + (6 + -18p) = 3(5 + -2p)

Reorder the terms:
-4 + 6 + 16p + -18p = 3(5 + -2p)

Combine like terms: -4 + 6 = 2
2 + 16p + -18p = 3(5 + -2p)

Combine like terms: 16p + -18p = -2p
2 + -2p = 3(5 + -2p)
2 + -2p = (5 * 3 + -2p * 3)
2 + -2p = (15 + -6p)

Solving
2 + -2p = 15 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
2 + -2p + 6p = 15 + -6p + 6p

Combine like terms: -2p + 6p = 4p
2 + 4p = 15 + -6p + 6p

Combine like terms: -6p + 6p = 0
2 + 4p = 15 + 0
2 + 4p = 15

Add '-2' to each side of the equation.
2 + -2 + 4p = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 4p = 15 + -2
4p = 15 + -2

Combine like terms: 15 + -2 = 13
4p = 13

Divide each side by '4'.
p = 3.25

Simplifying
p = 3.25