-5(2p-1)+17=4(5-2p)

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Solution for -5(2p-1)+17=4(5-2p) equation:


Simplifying
-5(2p + -1) + 17 = 4(5 + -2p)

Reorder the terms:
-5(-1 + 2p) + 17 = 4(5 + -2p)
(-1 * -5 + 2p * -5) + 17 = 4(5 + -2p)
(5 + -10p) + 17 = 4(5 + -2p)

Reorder the terms:
5 + 17 + -10p = 4(5 + -2p)

Combine like terms: 5 + 17 = 22
22 + -10p = 4(5 + -2p)
22 + -10p = (5 * 4 + -2p * 4)
22 + -10p = (20 + -8p)

Solving
22 + -10p = 20 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
22 + -10p + 8p = 20 + -8p + 8p

Combine like terms: -10p + 8p = -2p
22 + -2p = 20 + -8p + 8p

Combine like terms: -8p + 8p = 0
22 + -2p = 20 + 0
22 + -2p = 20

Add '-22' to each side of the equation.
22 + -22 + -2p = 20 + -22

Combine like terms: 22 + -22 = 0
0 + -2p = 20 + -22
-2p = 20 + -22

Combine like terms: 20 + -22 = -2
-2p = -2

Divide each side by '-2'.
p = 1

Simplifying
p = 1

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