3(p-5)-2(p+7)=4(p+12)

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Solution for 3(p-5)-2(p+7)=4(p+12) equation:


Simplifying
3(p + -5) + -2(p + 7) = 4(p + 12)

Reorder the terms:
3(-5 + p) + -2(p + 7) = 4(p + 12)
(-5 * 3 + p * 3) + -2(p + 7) = 4(p + 12)
(-15 + 3p) + -2(p + 7) = 4(p + 12)

Reorder the terms:
-15 + 3p + -2(7 + p) = 4(p + 12)
-15 + 3p + (7 * -2 + p * -2) = 4(p + 12)
-15 + 3p + (-14 + -2p) = 4(p + 12)

Reorder the terms:
-15 + -14 + 3p + -2p = 4(p + 12)

Combine like terms: -15 + -14 = -29
-29 + 3p + -2p = 4(p + 12)

Combine like terms: 3p + -2p = 1p
-29 + 1p = 4(p + 12)

Reorder the terms:
-29 + 1p = 4(12 + p)
-29 + 1p = (12 * 4 + p * 4)
-29 + 1p = (48 + 4p)

Solving
-29 + 1p = 48 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-29 + 1p + -4p = 48 + 4p + -4p

Combine like terms: 1p + -4p = -3p
-29 + -3p = 48 + 4p + -4p

Combine like terms: 4p + -4p = 0
-29 + -3p = 48 + 0
-29 + -3p = 48

Add '29' to each side of the equation.
-29 + 29 + -3p = 48 + 29

Combine like terms: -29 + 29 = 0
0 + -3p = 48 + 29
-3p = 48 + 29

Combine like terms: 48 + 29 = 77
-3p = 77

Divide each side by '-3'.
p = -25.66666667

Simplifying
p = -25.66666667

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