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

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


Simplifying
-2p + -3(5 + -2p) = 2(p + -2) + -5
-2p + (5 * -3 + -2p * -3) = 2(p + -2) + -5
-2p + (-15 + 6p) = 2(p + -2) + -5

Reorder the terms:
-15 + -2p + 6p = 2(p + -2) + -5

Combine like terms: -2p + 6p = 4p
-15 + 4p = 2(p + -2) + -5

Reorder the terms:
-15 + 4p = 2(-2 + p) + -5
-15 + 4p = (-2 * 2 + p * 2) + -5
-15 + 4p = (-4 + 2p) + -5

Reorder the terms:
-15 + 4p = -4 + -5 + 2p

Combine like terms: -4 + -5 = -9
-15 + 4p = -9 + 2p

Solving
-15 + 4p = -9 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-15 + 4p + -2p = -9 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-15 + 2p = -9 + 2p + -2p

Combine like terms: 2p + -2p = 0
-15 + 2p = -9 + 0
-15 + 2p = -9

Add '15' to each side of the equation.
-15 + 15 + 2p = -9 + 15

Combine like terms: -15 + 15 = 0
0 + 2p = -9 + 15
2p = -9 + 15

Combine like terms: -9 + 15 = 6
2p = 6

Divide each side by '2'.
p = 3

Simplifying
p = 3

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