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

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


Simplifying
p + -1(-1p) + -5(p + -3) + -1(2p + -5) = 3(p + 2p)

Remove parenthesis around (-1p)
p + -1 * -1p + -5(p + -3) + -1(2p + -5) = 3(p + 2p)

Multiply -1 * -1
p + 1p + -5(p + -3) + -1(2p + -5) = 3(p + 2p)

Reorder the terms:
p + 1p + -5(-3 + p) + -1(2p + -5) = 3(p + 2p)
p + 1p + (-3 * -5 + p * -5) + -1(2p + -5) = 3(p + 2p)
p + 1p + (15 + -5p) + -1(2p + -5) = 3(p + 2p)

Reorder the terms:
p + 1p + 15 + -5p + -1(-5 + 2p) = 3(p + 2p)
p + 1p + 15 + -5p + (-5 * -1 + 2p * -1) = 3(p + 2p)
p + 1p + 15 + -5p + (5 + -2p) = 3(p + 2p)

Reorder the terms:
15 + 5 + p + 1p + -5p + -2p = 3(p + 2p)

Combine like terms: 15 + 5 = 20
20 + p + 1p + -5p + -2p = 3(p + 2p)

Combine like terms: p + 1p = 2p
20 + 2p + -5p + -2p = 3(p + 2p)

Combine like terms: 2p + -5p = -3p
20 + -3p + -2p = 3(p + 2p)

Combine like terms: -3p + -2p = -5p
20 + -5p = 3(p + 2p)

Combine like terms: p + 2p = 3p
20 + -5p = 3(3p)

Remove parenthesis around (3p)
20 + -5p = 3 * 3p

Multiply 3 * 3
20 + -5p = 9p

Solving
20 + -5p = 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
20 + -5p + -9p = 9p + -9p

Combine like terms: -5p + -9p = -14p
20 + -14p = 9p + -9p

Combine like terms: 9p + -9p = 0
20 + -14p = 0

Add '-20' to each side of the equation.
20 + -20 + -14p = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -14p = 0 + -20
-14p = 0 + -20

Combine like terms: 0 + -20 = -20
-14p = -20

Divide each side by '-14'.
p = 1.428571429

Simplifying
p = 1.428571429

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