-19-5(6-5p)=4(p-4)-12

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Solution for -19-5(6-5p)=4(p-4)-12 equation:


Simplifying
-19 + -5(6 + -5p) = 4(p + -4) + -12
-19 + (6 * -5 + -5p * -5) = 4(p + -4) + -12
-19 + (-30 + 25p) = 4(p + -4) + -12

Combine like terms: -19 + -30 = -49
-49 + 25p = 4(p + -4) + -12

Reorder the terms:
-49 + 25p = 4(-4 + p) + -12
-49 + 25p = (-4 * 4 + p * 4) + -12
-49 + 25p = (-16 + 4p) + -12

Reorder the terms:
-49 + 25p = -16 + -12 + 4p

Combine like terms: -16 + -12 = -28
-49 + 25p = -28 + 4p

Solving
-49 + 25p = -28 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-49 + 25p + -4p = -28 + 4p + -4p

Combine like terms: 25p + -4p = 21p
-49 + 21p = -28 + 4p + -4p

Combine like terms: 4p + -4p = 0
-49 + 21p = -28 + 0
-49 + 21p = -28

Add '49' to each side of the equation.
-49 + 49 + 21p = -28 + 49

Combine like terms: -49 + 49 = 0
0 + 21p = -28 + 49
21p = -28 + 49

Combine like terms: -28 + 49 = 21
21p = 21

Divide each side by '21'.
p = 1

Simplifying
p = 1

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