6(p+2)-5p=2p-(p-7)+5

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Solution for 6(p+2)-5p=2p-(p-7)+5 equation: 


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

Reorder the terms:
6(2 + p) + -5p = 2p + -1(p + -7) + 5
(2 * 6 + p * 6) + -5p = 2p + -1(p + -7) + 5
(12 + 6p) + -5p = 2p + -1(p + -7) + 5

Combine like terms: 6p + -5p = 1p
12 + 1p = 2p + -1(p + -7) + 5

Reorder the terms:
12 + 1p = 2p + -1(-7 + p) + 5
12 + 1p = 2p + (-7 * -1 + p * -1) + 5
12 + 1p = 2p + (7 + -1p) + 5

Reorder the terms:
12 + 1p = 7 + 5 + 2p + -1p

Combine like terms: 7 + 5 = 12
12 + 1p = 12 + 2p + -1p

Combine like terms: 2p + -1p = 1p
12 + 1p = 12 + 1p

Add '-12' to each side of the equation.
12 + -12 + 1p = 12 + -12 + 1p

Combine like terms: 12 + -12 = 0
0 + 1p = 12 + -12 + 1p
1p = 12 + -12 + 1p

Combine like terms: 12 + -12 = 0
1p = 0 + 1p
1p = 1p

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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