10p+6=4(3p-1)

Solution for 10p+6=4(3p-1) equation:

Simplifying
10p + 6 = 4(3p + -1)

Reorder the terms:
6 + 10p = 4(3p + -1)

Reorder the terms:
6 + 10p = 4(-1 + 3p)
6 + 10p = (-1 * 4 + 3p * 4)
6 + 10p = (-4 + 12p)

Solving
6 + 10p = -4 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
6 + 10p + -12p = -4 + 12p + -12p

Combine like terms: 10p + -12p = -2p
6 + -2p = -4 + 12p + -12p

Combine like terms: 12p + -12p = 0
6 + -2p = -4 + 0
6 + -2p = -4

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

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

Combine like terms: -4 + -6 = -10
-2p = -10

Divide each side by '-2'.
p = 5

Simplifying
p = 5