6=-(8-5x)-8(x-4)

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Solution for 6=-(8-5x)-8(x-4) equation:


Simplifying
6 = -1(8 + -5x) + -8(x + -4)
6 = (8 * -1 + -5x * -1) + -8(x + -4)
6 = (-8 + 5x) + -8(x + -4)

Reorder the terms:
6 = -8 + 5x + -8(-4 + x)
6 = -8 + 5x + (-4 * -8 + x * -8)
6 = -8 + 5x + (32 + -8x)

Reorder the terms:
6 = -8 + 32 + 5x + -8x

Combine like terms: -8 + 32 = 24
6 = 24 + 5x + -8x

Combine like terms: 5x + -8x = -3x
6 = 24 + -3x

Solving
6 = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 3x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 3x = 24 + 0
6 + 3x = 24

Add '-6' to each side of the equation.
6 + -6 + 3x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 24 + -6
3x = 24 + -6

Combine like terms: 24 + -6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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