3(p+1)-5p=12-(6p-7)

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Solution for 3(p+1)-5p=12-(6p-7) equation:


Simplifying
3(p + 1) + -5p = 12 + -1(6p + -7)

Reorder the terms:
3(1 + p) + -5p = 12 + -1(6p + -7)
(1 * 3 + p * 3) + -5p = 12 + -1(6p + -7)
(3 + 3p) + -5p = 12 + -1(6p + -7)

Combine like terms: 3p + -5p = -2p
3 + -2p = 12 + -1(6p + -7)

Reorder the terms:
3 + -2p = 12 + -1(-7 + 6p)
3 + -2p = 12 + (-7 * -1 + 6p * -1)
3 + -2p = 12 + (7 + -6p)

Combine like terms: 12 + 7 = 19
3 + -2p = 19 + -6p

Solving
3 + -2p = 19 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
3 + -2p + 6p = 19 + -6p + 6p

Combine like terms: -2p + 6p = 4p
3 + 4p = 19 + -6p + 6p

Combine like terms: -6p + 6p = 0
3 + 4p = 19 + 0
3 + 4p = 19

Add '-3' to each side of the equation.
3 + -3 + 4p = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 4p = 19 + -3
4p = 19 + -3

Combine like terms: 19 + -3 = 16
4p = 16

Divide each side by '4'.
p = 4

Simplifying
p = 4

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