-7(3p-20)+19=-3(4p-5)

Solution for -7(3p-20)+19=-3(4p-5) equation:

Simplifying
-7(3p + -20) + 19 = -3(4p + -5)

Reorder the terms:
-7(-20 + 3p) + 19 = -3(4p + -5)
(-20 * -7 + 3p * -7) + 19 = -3(4p + -5)
(140 + -21p) + 19 = -3(4p + -5)

Reorder the terms:
140 + 19 + -21p = -3(4p + -5)

Combine like terms: 140 + 19 = 159
159 + -21p = -3(4p + -5)

Reorder the terms:
159 + -21p = -3(-5 + 4p)
159 + -21p = (-5 * -3 + 4p * -3)
159 + -21p = (15 + -12p)

Solving
159 + -21p = 15 + -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.
159 + -21p + 12p = 15 + -12p + 12p

Combine like terms: -21p + 12p = -9p
159 + -9p = 15 + -12p + 12p

Combine like terms: -12p + 12p = 0
159 + -9p = 15 + 0
159 + -9p = 15

Add '-159' to each side of the equation.
159 + -159 + -9p = 15 + -159

Combine like terms: 159 + -159 = 0
0 + -9p = 15 + -159
-9p = 15 + -159

Combine like terms: 15 + -159 = -144
-9p = -144

Divide each side by '-9'.
p = 16

Simplifying
p = 16