-21p-5(4-5p)=2(p-5)-2

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Solution for -21p-5(4-5p)=2(p-5)-2 equation:


Simplifying
-21p + -5(4 + -5p) = 2(p + -5) + -2
-21p + (4 * -5 + -5p * -5) = 2(p + -5) + -2
-21p + (-20 + 25p) = 2(p + -5) + -2

Reorder the terms:
-20 + -21p + 25p = 2(p + -5) + -2

Combine like terms: -21p + 25p = 4p
-20 + 4p = 2(p + -5) + -2

Reorder the terms:
-20 + 4p = 2(-5 + p) + -2
-20 + 4p = (-5 * 2 + p * 2) + -2
-20 + 4p = (-10 + 2p) + -2

Reorder the terms:
-20 + 4p = -10 + -2 + 2p

Combine like terms: -10 + -2 = -12
-20 + 4p = -12 + 2p

Solving
-20 + 4p = -12 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-20 + 4p + -2p = -12 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-20 + 2p = -12 + 2p + -2p

Combine like terms: 2p + -2p = 0
-20 + 2p = -12 + 0
-20 + 2p = -12

Add '20' to each side of the equation.
-20 + 20 + 2p = -12 + 20

Combine like terms: -20 + 20 = 0
0 + 2p = -12 + 20
2p = -12 + 20

Combine like terms: -12 + 20 = 8
2p = 8

Divide each side by '2'.
p = 4

Simplifying
p = 4

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