3(2p+1)=7(5-p)-6

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Solution for 3(2p+1)=7(5-p)-6 equation: 


Simplifying
3(2p + 1) = 7(5 + -1p) + -6

Reorder the terms:
3(1 + 2p) = 7(5 + -1p) + -6
(1 * 3 + 2p * 3) = 7(5 + -1p) + -6
(3 + 6p) = 7(5 + -1p) + -6
3 + 6p = (5 * 7 + -1p * 7) + -6
3 + 6p = (35 + -7p) + -6

Reorder the terms:
3 + 6p = 35 + -6 + -7p

Combine like terms: 35 + -6 = 29
3 + 6p = 29 + -7p

Solving
3 + 6p = 29 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
3 + 6p + 7p = 29 + -7p + 7p

Combine like terms: 6p + 7p = 13p
3 + 13p = 29 + -7p + 7p

Combine like terms: -7p + 7p = 0
3 + 13p = 29 + 0
3 + 13p = 29

Add '-3' to each side of the equation.
3 + -3 + 13p = 29 + -3

Combine like terms: 3 + -3 = 0
0 + 13p = 29 + -3
13p = 29 + -3

Combine like terms: 29 + -3 = 26
13p = 26

Divide each side by '13'.
p = 2

Simplifying
p = 2

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