10(p-10)-5(p+1)=-65

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Solution for 10(p-10)-5(p+1)=-65 equation:


Simplifying
10(p + -10) + -5(p + 1) = -65

Reorder the terms:
10(-10 + p) + -5(p + 1) = -65
(-10 * 10 + p * 10) + -5(p + 1) = -65
(-100 + 10p) + -5(p + 1) = -65

Reorder the terms:
-100 + 10p + -5(1 + p) = -65
-100 + 10p + (1 * -5 + p * -5) = -65
-100 + 10p + (-5 + -5p) = -65

Reorder the terms:
-100 + -5 + 10p + -5p = -65

Combine like terms: -100 + -5 = -105
-105 + 10p + -5p = -65

Combine like terms: 10p + -5p = 5p
-105 + 5p = -65

Solving
-105 + 5p = -65

Solving for variable 'p'.

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

Add '105' to each side of the equation.
-105 + 105 + 5p = -65 + 105

Combine like terms: -105 + 105 = 0
0 + 5p = -65 + 105
5p = -65 + 105

Combine like terms: -65 + 105 = 40
5p = 40

Divide each side by '5'.
p = 8

Simplifying
p = 8

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