5(2p-6)=-4(p-3)

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Solution for 5(2p-6)=-4(p-3) equation:


Simplifying
5(2p + -6) = -4(p + -3)

Reorder the terms:
5(-6 + 2p) = -4(p + -3)
(-6 * 5 + 2p * 5) = -4(p + -3)
(-30 + 10p) = -4(p + -3)

Reorder the terms:
-30 + 10p = -4(-3 + p)
-30 + 10p = (-3 * -4 + p * -4)
-30 + 10p = (12 + -4p)

Solving
-30 + 10p = 12 + -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.
-30 + 10p + 4p = 12 + -4p + 4p

Combine like terms: 10p + 4p = 14p
-30 + 14p = 12 + -4p + 4p

Combine like terms: -4p + 4p = 0
-30 + 14p = 12 + 0
-30 + 14p = 12

Add '30' to each side of the equation.
-30 + 30 + 14p = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 14p = 12 + 30
14p = 12 + 30

Combine like terms: 12 + 30 = 42
14p = 42

Divide each side by '14'.
p = 3

Simplifying
p = 3

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