84=x-5(2x-8)

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Solution for 84=x-5(2x-8) equation:


Simplifying
84 = x + -5(2x + -8)

Reorder the terms:
84 = x + -5(-8 + 2x)
84 = x + (-8 * -5 + 2x * -5)
84 = x + (40 + -10x)

Reorder the terms:
84 = 40 + x + -10x

Combine like terms: x + -10x = -9x
84 = 40 + -9x

Solving
84 = 40 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
84 + 9x = 40 + -9x + 9x

Combine like terms: -9x + 9x = 0
84 + 9x = 40 + 0
84 + 9x = 40

Add '-84' to each side of the equation.
84 + -84 + 9x = 40 + -84

Combine like terms: 84 + -84 = 0
0 + 9x = 40 + -84
9x = 40 + -84

Combine like terms: 40 + -84 = -44
9x = -44

Divide each side by '9'.
x = -4.888888889

Simplifying
x = -4.888888889

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