11-2(3p-10)=5(4-p)

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Solution for 11-2(3p-10)=5(4-p) equation: 


Simplifying
11 + -2(3p + -10) = 5(4 + -1p)

Reorder the terms:
11 + -2(-10 + 3p) = 5(4 + -1p)
11 + (-10 * -2 + 3p * -2) = 5(4 + -1p)
11 + (20 + -6p) = 5(4 + -1p)

Combine like terms: 11 + 20 = 31
31 + -6p = 5(4 + -1p)
31 + -6p = (4 * 5 + -1p * 5)
31 + -6p = (20 + -5p)

Solving
31 + -6p = 20 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
31 + -6p + 5p = 20 + -5p + 5p

Combine like terms: -6p + 5p = -1p
31 + -1p = 20 + -5p + 5p

Combine like terms: -5p + 5p = 0
31 + -1p = 20 + 0
31 + -1p = 20

Add '-31' to each side of the equation.
31 + -31 + -1p = 20 + -31

Combine like terms: 31 + -31 = 0
0 + -1p = 20 + -31
-1p = 20 + -31

Combine like terms: 20 + -31 = -11
-1p = -11

Divide each side by '-1'.
p = 11

Simplifying
p = 11

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