-25p-5(2-6p)=3(p-3)-11

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Solution for -25p-5(2-6p)=3(p-3)-11 equation:


Simplifying
-25p + -5(2 + -6p) = 3(p + -3) + -11
-25p + (2 * -5 + -6p * -5) = 3(p + -3) + -11
-25p + (-10 + 30p) = 3(p + -3) + -11

Reorder the terms:
-10 + -25p + 30p = 3(p + -3) + -11

Combine like terms: -25p + 30p = 5p
-10 + 5p = 3(p + -3) + -11

Reorder the terms:
-10 + 5p = 3(-3 + p) + -11
-10 + 5p = (-3 * 3 + p * 3) + -11
-10 + 5p = (-9 + 3p) + -11

Reorder the terms:
-10 + 5p = -9 + -11 + 3p

Combine like terms: -9 + -11 = -20
-10 + 5p = -20 + 3p

Solving
-10 + 5p = -20 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-10 + 5p + -3p = -20 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-10 + 2p = -20 + 3p + -3p

Combine like terms: 3p + -3p = 0
-10 + 2p = -20 + 0
-10 + 2p = -20

Add '10' to each side of the equation.
-10 + 10 + 2p = -20 + 10

Combine like terms: -10 + 10 = 0
0 + 2p = -20 + 10
2p = -20 + 10

Combine like terms: -20 + 10 = -10
2p = -10

Divide each side by '2'.
p = -5

Simplifying
p = -5

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