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

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


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

Reorder the terms:
4(2 + p) = 5(p + -3)
(2 * 4 + p * 4) = 5(p + -3)
(8 + 4p) = 5(p + -3)

Reorder the terms:
8 + 4p = 5(-3 + p)
8 + 4p = (-3 * 5 + p * 5)
8 + 4p = (-15 + 5p)

Solving
8 + 4p = -15 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
8 + 4p + -5p = -15 + 5p + -5p

Combine like terms: 4p + -5p = -1p
8 + -1p = -15 + 5p + -5p

Combine like terms: 5p + -5p = 0
8 + -1p = -15 + 0
8 + -1p = -15

Add '-8' to each side of the equation.
8 + -8 + -1p = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = -15 + -8
-1p = -15 + -8

Combine like terms: -15 + -8 = -23
-1p = -23

Divide each side by '-1'.
p = 23

Simplifying
p = 23

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