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

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Solution for 15(p-4)-5(p+5)=12(3+2) equation:


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

Reorder the terms:
15(-4 + p) + -5(p + 5) = 12(3 + 2)
(-4 * 15 + p * 15) + -5(p + 5) = 12(3 + 2)
(-60 + 15p) + -5(p + 5) = 12(3 + 2)

Reorder the terms:
-60 + 15p + -5(5 + p) = 12(3 + 2)
-60 + 15p + (5 * -5 + p * -5) = 12(3 + 2)
-60 + 15p + (-25 + -5p) = 12(3 + 2)

Reorder the terms:
-60 + -25 + 15p + -5p = 12(3 + 2)

Combine like terms: -60 + -25 = -85
-85 + 15p + -5p = 12(3 + 2)

Combine like terms: 15p + -5p = 10p
-85 + 10p = 12(3 + 2)

Combine like terms: 3 + 2 = 5
-85 + 10p = 12(5)

Multiply 12 * 5
-85 + 10p = 60

Solving
-85 + 10p = 60

Solving for variable 'p'.

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

Add '85' to each side of the equation.
-85 + 85 + 10p = 60 + 85

Combine like terms: -85 + 85 = 0
0 + 10p = 60 + 85
10p = 60 + 85

Combine like terms: 60 + 85 = 145
10p = 145

Divide each side by '10'.
p = 14.5

Simplifying
p = 14.5

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