8[x-(9x-8)]=8-5x

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Solution for 8[x-(9x-8)]=8-5x equation:


Simplifying
8[x + -1(9x + -8)] = 8 + -5x

Reorder the terms:
8[x + -1(-8 + 9x)] = 8 + -5x
8[x + (-8 * -1 + 9x * -1)] = 8 + -5x
8[x + (8 + -9x)] = 8 + -5x

Reorder the terms:
8[8 + x + -9x] = 8 + -5x

Combine like terms: x + -9x = -8x
8[8 + -8x] = 8 + -5x
[8 * 8 + -8x * 8] = 8 + -5x
[64 + -64x] = 8 + -5x

Solving
64 + -64x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
64 + -64x + 5x = 8 + -5x + 5x

Combine like terms: -64x + 5x = -59x
64 + -59x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
64 + -59x = 8 + 0
64 + -59x = 8

Add '-64' to each side of the equation.
64 + -64 + -59x = 8 + -64

Combine like terms: 64 + -64 = 0
0 + -59x = 8 + -64
-59x = 8 + -64

Combine like terms: 8 + -64 = -56
-59x = -56

Divide each side by '-59'.
x = 0.9491525424

Simplifying
x = 0.9491525424

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