-4(5p+2)-42=2(4p+3)

Solution for -4(5p+2)-42=2(4p+3) equation:

Simplifying
-4(5p + 2) + -42 = 2(4p + 3)

Reorder the terms:
-4(2 + 5p) + -42 = 2(4p + 3)
(2 * -4 + 5p * -4) + -42 = 2(4p + 3)
(-8 + -20p) + -42 = 2(4p + 3)

Reorder the terms:
-8 + -42 + -20p = 2(4p + 3)

Combine like terms: -8 + -42 = -50
-50 + -20p = 2(4p + 3)

Reorder the terms:
-50 + -20p = 2(3 + 4p)
-50 + -20p = (3 * 2 + 4p * 2)
-50 + -20p = (6 + 8p)

Solving
-50 + -20p = 6 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-50 + -20p + -8p = 6 + 8p + -8p

Combine like terms: -20p + -8p = -28p
-50 + -28p = 6 + 8p + -8p

Combine like terms: 8p + -8p = 0
-50 + -28p = 6 + 0
-50 + -28p = 6

Add '50' to each side of the equation.
-50 + 50 + -28p = 6 + 50

Combine like terms: -50 + 50 = 0
0 + -28p = 6 + 50
-28p = 6 + 50

Combine like terms: 6 + 50 = 56
-28p = 56

Divide each side by '-28'.
p = -2

Simplifying
p = -2