7p-2(3-4p)=12p-(5p+4)

Solution for 7p-2(3-4p)=12p-(5p+4) equation:

Simplifying
7p + -2(3 + -4p) = 12p + -1(5p + 4)
7p + (3 * -2 + -4p * -2) = 12p + -1(5p + 4)
7p + (-6 + 8p) = 12p + -1(5p + 4)

Reorder the terms:
-6 + 7p + 8p = 12p + -1(5p + 4)

Combine like terms: 7p + 8p = 15p
-6 + 15p = 12p + -1(5p + 4)

Reorder the terms:
-6 + 15p = 12p + -1(4 + 5p)
-6 + 15p = 12p + (4 * -1 + 5p * -1)
-6 + 15p = 12p + (-4 + -5p)

Reorder the terms:
-6 + 15p = -4 + 12p + -5p

Combine like terms: 12p + -5p = 7p
-6 + 15p = -4 + 7p

Solving
-6 + 15p = -4 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
-6 + 15p + -7p = -4 + 7p + -7p

Combine like terms: 15p + -7p = 8p
-6 + 8p = -4 + 7p + -7p

Combine like terms: 7p + -7p = 0
-6 + 8p = -4 + 0
-6 + 8p = -4

Add '6' to each side of the equation.
-6 + 6 + 8p = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 8p = -4 + 6
8p = -4 + 6

Combine like terms: -4 + 6 = 2
8p = 2

Divide each side by '8'.
p = 0.25

Simplifying
p = 0.25