5p-2(3p-5)=-3(p-4)

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Solution for 5p-2(3p-5)=-3(p-4) equation:


Simplifying
5p + -2(3p + -5) = -3(p + -4)

Reorder the terms:
5p + -2(-5 + 3p) = -3(p + -4)
5p + (-5 * -2 + 3p * -2) = -3(p + -4)
5p + (10 + -6p) = -3(p + -4)

Reorder the terms:
10 + 5p + -6p = -3(p + -4)

Combine like terms: 5p + -6p = -1p
10 + -1p = -3(p + -4)

Reorder the terms:
10 + -1p = -3(-4 + p)
10 + -1p = (-4 * -3 + p * -3)
10 + -1p = (12 + -3p)

Solving
10 + -1p = 12 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
10 + -1p + 3p = 12 + -3p + 3p

Combine like terms: -1p + 3p = 2p
10 + 2p = 12 + -3p + 3p

Combine like terms: -3p + 3p = 0
10 + 2p = 12 + 0
10 + 2p = 12

Add '-10' to each side of the equation.
10 + -10 + 2p = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 2p = 12 + -10
2p = 12 + -10

Combine like terms: 12 + -10 = 2
2p = 2

Divide each side by '2'.
p = 1

Simplifying
p = 1

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