-7(4p+2)-39=3(2p+5)

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Solution for -7(4p+2)-39=3(2p+5) equation:


Simplifying
-7(4p + 2) + -39 = 3(2p + 5)

Reorder the terms:
-7(2 + 4p) + -39 = 3(2p + 5)
(2 * -7 + 4p * -7) + -39 = 3(2p + 5)
(-14 + -28p) + -39 = 3(2p + 5)

Reorder the terms:
-14 + -39 + -28p = 3(2p + 5)

Combine like terms: -14 + -39 = -53
-53 + -28p = 3(2p + 5)

Reorder the terms:
-53 + -28p = 3(5 + 2p)
-53 + -28p = (5 * 3 + 2p * 3)
-53 + -28p = (15 + 6p)

Solving
-53 + -28p = 15 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-53 + -28p + -6p = 15 + 6p + -6p

Combine like terms: -28p + -6p = -34p
-53 + -34p = 15 + 6p + -6p

Combine like terms: 6p + -6p = 0
-53 + -34p = 15 + 0
-53 + -34p = 15

Add '53' to each side of the equation.
-53 + 53 + -34p = 15 + 53

Combine like terms: -53 + 53 = 0
0 + -34p = 15 + 53
-34p = 15 + 53

Combine like terms: 15 + 53 = 68
-34p = 68

Divide each side by '-34'.
p = -2

Simplifying
p = -2

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