5(p-2)+1=4(2p+7)+2

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Solution for 5(p-2)+1=4(2p+7)+2 equation:


Simplifying
5(p + -2) + 1 = 4(2p + 7) + 2

Reorder the terms:
5(-2 + p) + 1 = 4(2p + 7) + 2
(-2 * 5 + p * 5) + 1 = 4(2p + 7) + 2
(-10 + 5p) + 1 = 4(2p + 7) + 2

Reorder the terms:
-10 + 1 + 5p = 4(2p + 7) + 2

Combine like terms: -10 + 1 = -9
-9 + 5p = 4(2p + 7) + 2

Reorder the terms:
-9 + 5p = 4(7 + 2p) + 2
-9 + 5p = (7 * 4 + 2p * 4) + 2
-9 + 5p = (28 + 8p) + 2

Reorder the terms:
-9 + 5p = 28 + 2 + 8p

Combine like terms: 28 + 2 = 30
-9 + 5p = 30 + 8p

Solving
-9 + 5p = 30 + 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.
-9 + 5p + -8p = 30 + 8p + -8p

Combine like terms: 5p + -8p = -3p
-9 + -3p = 30 + 8p + -8p

Combine like terms: 8p + -8p = 0
-9 + -3p = 30 + 0
-9 + -3p = 30

Add '9' to each side of the equation.
-9 + 9 + -3p = 30 + 9

Combine like terms: -9 + 9 = 0
0 + -3p = 30 + 9
-3p = 30 + 9

Combine like terms: 30 + 9 = 39
-3p = 39

Divide each side by '-3'.
p = -13

Simplifying
p = -13

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