-21p-6(5-5p)=5(p-5)-25

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Solution for -21p-6(5-5p)=5(p-5)-25 equation:


Simplifying
-21p + -6(5 + -5p) = 5(p + -5) + -25
-21p + (5 * -6 + -5p * -6) = 5(p + -5) + -25
-21p + (-30 + 30p) = 5(p + -5) + -25

Reorder the terms:
-30 + -21p + 30p = 5(p + -5) + -25

Combine like terms: -21p + 30p = 9p
-30 + 9p = 5(p + -5) + -25

Reorder the terms:
-30 + 9p = 5(-5 + p) + -25
-30 + 9p = (-5 * 5 + p * 5) + -25
-30 + 9p = (-25 + 5p) + -25

Reorder the terms:
-30 + 9p = -25 + -25 + 5p

Combine like terms: -25 + -25 = -50
-30 + 9p = -50 + 5p

Solving
-30 + 9p = -50 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-30 + 9p + -5p = -50 + 5p + -5p

Combine like terms: 9p + -5p = 4p
-30 + 4p = -50 + 5p + -5p

Combine like terms: 5p + -5p = 0
-30 + 4p = -50 + 0
-30 + 4p = -50

Add '30' to each side of the equation.
-30 + 30 + 4p = -50 + 30

Combine like terms: -30 + 30 = 0
0 + 4p = -50 + 30
4p = -50 + 30

Combine like terms: -50 + 30 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5

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