3(p-5)+1=2(p+2)-5

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Solution for 3(p-5)+1=2(p+2)-5 equation: 


Simplifying
3(p + -5) + 1 = 2(p + 2) + -5

Reorder the terms:
3(-5 + p) + 1 = 2(p + 2) + -5
(-5 * 3 + p * 3) + 1 = 2(p + 2) + -5
(-15 + 3p) + 1 = 2(p + 2) + -5

Reorder the terms:
-15 + 1 + 3p = 2(p + 2) + -5

Combine like terms: -15 + 1 = -14
-14 + 3p = 2(p + 2) + -5

Reorder the terms:
-14 + 3p = 2(2 + p) + -5
-14 + 3p = (2 * 2 + p * 2) + -5
-14 + 3p = (4 + 2p) + -5

Reorder the terms:
-14 + 3p = 4 + -5 + 2p

Combine like terms: 4 + -5 = -1
-14 + 3p = -1 + 2p

Solving
-14 + 3p = -1 + 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.
-14 + 3p + -2p = -1 + 2p + -2p

Combine like terms: 3p + -2p = 1p
-14 + 1p = -1 + 2p + -2p

Combine like terms: 2p + -2p = 0
-14 + 1p = -1 + 0
-14 + 1p = -1

Add '14' to each side of the equation.
-14 + 14 + 1p = -1 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = -1 + 14
1p = -1 + 14

Combine like terms: -1 + 14 = 13
1p = 13

Divide each side by '1'.
p = 13

Simplifying
p = 13

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