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

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


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

Reorder the terms:
-5(2 + 5p) + -42 = 2(3p + 5)
(2 * -5 + 5p * -5) + -42 = 2(3p + 5)
(-10 + -25p) + -42 = 2(3p + 5)

Reorder the terms:
-10 + -42 + -25p = 2(3p + 5)

Combine like terms: -10 + -42 = -52
-52 + -25p = 2(3p + 5)

Reorder the terms:
-52 + -25p = 2(5 + 3p)
-52 + -25p = (5 * 2 + 3p * 2)
-52 + -25p = (10 + 6p)

Solving
-52 + -25p = 10 + 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.
-52 + -25p + -6p = 10 + 6p + -6p

Combine like terms: -25p + -6p = -31p
-52 + -31p = 10 + 6p + -6p

Combine like terms: 6p + -6p = 0
-52 + -31p = 10 + 0
-52 + -31p = 10

Add '52' to each side of the equation.
-52 + 52 + -31p = 10 + 52

Combine like terms: -52 + 52 = 0
0 + -31p = 10 + 52
-31p = 10 + 52

Combine like terms: 10 + 52 = 62
-31p = 62

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

Simplifying
p = -2

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