6(p+5)+4(p-7)=72

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Solution for 6(p+5)+4(p-7)=72 equation: 


Simplifying
6(p + 5) + 4(p + -7) = 72

Reorder the terms:
6(5 + p) + 4(p + -7) = 72
(5 * 6 + p * 6) + 4(p + -7) = 72
(30 + 6p) + 4(p + -7) = 72

Reorder the terms:
30 + 6p + 4(-7 + p) = 72
30 + 6p + (-7 * 4 + p * 4) = 72
30 + 6p + (-28 + 4p) = 72

Reorder the terms:
30 + -28 + 6p + 4p = 72

Combine like terms: 30 + -28 = 2
2 + 6p + 4p = 72

Combine like terms: 6p + 4p = 10p
2 + 10p = 72

Solving
2 + 10p = 72

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + 10p = 72 + -2

Combine like terms: 2 + -2 = 0
0 + 10p = 72 + -2
10p = 72 + -2

Combine like terms: 72 + -2 = 70
10p = 70

Divide each side by '10'.
p = 7

Simplifying
p = 7

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