5(p+5)=31+6p

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Solution for 5(p+5)=31+6p equation:


Simplifying
5(p + 5) = 31 + 6p

Reorder the terms:
5(5 + p) = 31 + 6p
(5 * 5 + p * 5) = 31 + 6p
(25 + 5p) = 31 + 6p

Solving
25 + 5p = 31 + 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.
25 + 5p + -6p = 31 + 6p + -6p

Combine like terms: 5p + -6p = -1p
25 + -1p = 31 + 6p + -6p

Combine like terms: 6p + -6p = 0
25 + -1p = 31 + 0
25 + -1p = 31

Add '-25' to each side of the equation.
25 + -25 + -1p = 31 + -25

Combine like terms: 25 + -25 = 0
0 + -1p = 31 + -25
-1p = 31 + -25

Combine like terms: 31 + -25 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6

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