-7(3p+2)-40=2(5p+4)

Solution for -7(3p+2)-40=2(5p+4) equation:

Simplifying
-7(3p + 2) + -40 = 2(5p + 4)

Reorder the terms:
-7(2 + 3p) + -40 = 2(5p + 4)
(2 * -7 + 3p * -7) + -40 = 2(5p + 4)
(-14 + -21p) + -40 = 2(5p + 4)

Reorder the terms:
-14 + -40 + -21p = 2(5p + 4)

Combine like terms: -14 + -40 = -54
-54 + -21p = 2(5p + 4)

Reorder the terms:
-54 + -21p = 2(4 + 5p)
-54 + -21p = (4 * 2 + 5p * 2)
-54 + -21p = (8 + 10p)

Solving
-54 + -21p = 8 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-54 + -21p + -10p = 8 + 10p + -10p

Combine like terms: -21p + -10p = -31p
-54 + -31p = 8 + 10p + -10p

Combine like terms: 10p + -10p = 0
-54 + -31p = 8 + 0
-54 + -31p = 8

Add '54' to each side of the equation.
-54 + 54 + -31p = 8 + 54

Combine like terms: -54 + 54 = 0
0 + -31p = 8 + 54
-31p = 8 + 54

Combine like terms: 8 + 54 = 62
-31p = 62

Divide each side by '-31'.
p = -2

Simplifying
p = -2