P=2[3x+5(x+1)]-(10x+2)

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Solution for P=2[3x+5(x+1)]-(10x+2) equation: 


Simplifying
P = 2[3x + 5(x + 1)] + -1(10x + 2)

Reorder the terms:
P = 2[3x + 5(1 + x)] + -1(10x + 2)
P = 2[3x + (1 * 5 + x * 5)] + -1(10x + 2)
P = 2[3x + (5 + 5x)] + -1(10x + 2)

Reorder the terms:
P = 2[5 + 3x + 5x] + -1(10x + 2)

Combine like terms: 3x + 5x = 8x
P = 2[5 + 8x] + -1(10x + 2)
P = [5 * 2 + 8x * 2] + -1(10x + 2)
P = [10 + 16x] + -1(10x + 2)

Reorder the terms:
P = 10 + 16x + -1(2 + 10x)
P = 10 + 16x + (2 * -1 + 10x * -1)
P = 10 + 16x + (-2 + -10x)

Reorder the terms:
P = 10 + -2 + 16x + -10x

Combine like terms: 10 + -2 = 8
P = 8 + 16x + -10x

Combine like terms: 16x + -10x = 6x
P = 8 + 6x

Solving
P = 8 + 6x

Solving for variable 'P'.

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

Simplifying
P = 8 + 6x

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