5(p+10)=4[p-(10-p)]

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Solution for 5(p+10)=4[p-(10-p)] equation: 


Simplifying
5(p + 10) = 4[p + -1(10 + -1p)]

Reorder the terms:
5(10 + p) = 4[p + -1(10 + -1p)]
(10 * 5 + p * 5) = 4[p + -1(10 + -1p)]
(50 + 5p) = 4[p + -1(10 + -1p)]
50 + 5p = 4[p + (10 * -1 + -1p * -1)]
50 + 5p = 4[p + (-10 + 1p)]

Reorder the terms:
50 + 5p = 4[-10 + p + 1p]

Combine like terms: p + 1p = 2p
50 + 5p = 4[-10 + 2p]
50 + 5p = [-10 * 4 + 2p * 4]
50 + 5p = [-40 + 8p]

Solving
50 + 5p = -40 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
50 + 5p + -8p = -40 + 8p + -8p

Combine like terms: 5p + -8p = -3p
50 + -3p = -40 + 8p + -8p

Combine like terms: 8p + -8p = 0
50 + -3p = -40 + 0
50 + -3p = -40

Add '-50' to each side of the equation.
50 + -50 + -3p = -40 + -50

Combine like terms: 50 + -50 = 0
0 + -3p = -40 + -50
-3p = -40 + -50

Combine like terms: -40 + -50 = -90
-3p = -90

Divide each side by '-3'.
p = 30

Simplifying
p = 30

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