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

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


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

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

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

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

Solving
50 + 5x = -40 + 8p

Solving for variable 'x'.

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

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

Combine like terms: 50 + -50 = 0
0 + 5x = -40 + -50 + 8p
5x = -40 + -50 + 8p

Combine like terms: -40 + -50 = -90
5x = -90 + 8p

Divide each side by '5'.
x = -18 + 1.6p

Simplifying
x = -18 + 1.6p

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