5(p-3)=2(p-7)

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Solution for 5(p-3)=2(p-7) equation:


Simplifying
5(p + -3) = 2(p + -7)

Reorder the terms:
5(-3 + p) = 2(p + -7)
(-3 * 5 + p * 5) = 2(p + -7)
(-15 + 5p) = 2(p + -7)

Reorder the terms:
-15 + 5p = 2(-7 + p)
-15 + 5p = (-7 * 2 + p * 2)
-15 + 5p = (-14 + 2p)

Solving
-15 + 5p = -14 + 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 + 5p + -2p = -14 + 2p + -2p

Combine like terms: 5p + -2p = 3p
-15 + 3p = -14 + 2p + -2p

Combine like terms: 2p + -2p = 0
-15 + 3p = -14 + 0
-15 + 3p = -14

Add '15' to each side of the equation.
-15 + 15 + 3p = -14 + 15

Combine like terms: -15 + 15 = 0
0 + 3p = -14 + 15
3p = -14 + 15

Combine like terms: -14 + 15 = 1
3p = 1

Divide each side by '3'.
p = 0.3333333333

Simplifying
p = 0.3333333333

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