5(p-2)+3(p+1)=25

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Solution for 5(p-2)+3(p+1)=25 equation:


Simplifying
5(p + -2) + 3(p + 1) = 25

Reorder the terms:
5(-2 + p) + 3(p + 1) = 25
(-2 * 5 + p * 5) + 3(p + 1) = 25
(-10 + 5p) + 3(p + 1) = 25

Reorder the terms:
-10 + 5p + 3(1 + p) = 25
-10 + 5p + (1 * 3 + p * 3) = 25
-10 + 5p + (3 + 3p) = 25

Reorder the terms:
-10 + 3 + 5p + 3p = 25

Combine like terms: -10 + 3 = -7
-7 + 5p + 3p = 25

Combine like terms: 5p + 3p = 8p
-7 + 8p = 25

Solving
-7 + 8p = 25

Solving for variable 'p'.

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

Add '7' to each side of the equation.
-7 + 7 + 8p = 25 + 7

Combine like terms: -7 + 7 = 0
0 + 8p = 25 + 7
8p = 25 + 7

Combine like terms: 25 + 7 = 32
8p = 32

Divide each side by '8'.
p = 4

Simplifying
p = 4

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