3(p+7)-(p-4)=12

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Solution for 3(p+7)-(p-4)=12 equation:


Simplifying
3(p + 7) + -1(p + -4) = 12

Reorder the terms:
3(7 + p) + -1(p + -4) = 12
(7 * 3 + p * 3) + -1(p + -4) = 12
(21 + 3p) + -1(p + -4) = 12

Reorder the terms:
21 + 3p + -1(-4 + p) = 12
21 + 3p + (-4 * -1 + p * -1) = 12
21 + 3p + (4 + -1p) = 12

Reorder the terms:
21 + 4 + 3p + -1p = 12

Combine like terms: 21 + 4 = 25
25 + 3p + -1p = 12

Combine like terms: 3p + -1p = 2p
25 + 2p = 12

Solving
25 + 2p = 12

Solving for variable 'p'.

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

Add '-25' to each side of the equation.
25 + -25 + 2p = 12 + -25

Combine like terms: 25 + -25 = 0
0 + 2p = 12 + -25
2p = 12 + -25

Combine like terms: 12 + -25 = -13
2p = -13

Divide each side by '2'.
p = -6.5

Simplifying
p = -6.5

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