x-4(2x-6+x)-(x-8)=0

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Solution for x-4(2x-6+x)-(x-8)=0 equation:


Simplifying
x + -4(2x + -6 + x) + -1(x + -8) = 0

Reorder the terms:
x + -4(-6 + 2x + x) + -1(x + -8) = 0

Combine like terms: 2x + x = 3x
x + -4(-6 + 3x) + -1(x + -8) = 0
x + (-6 * -4 + 3x * -4) + -1(x + -8) = 0
x + (24 + -12x) + -1(x + -8) = 0

Reorder the terms:
x + 24 + -12x + -1(-8 + x) = 0
x + 24 + -12x + (-8 * -1 + x * -1) = 0
x + 24 + -12x + (8 + -1x) = 0

Reorder the terms:
24 + 8 + x + -12x + -1x = 0

Combine like terms: 24 + 8 = 32
32 + x + -12x + -1x = 0

Combine like terms: x + -12x = -11x
32 + -11x + -1x = 0

Combine like terms: -11x + -1x = -12x
32 + -12x = 0

Solving
32 + -12x = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -12x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -12x = 0 + -32
-12x = 0 + -32

Combine like terms: 0 + -32 = -32
-12x = -32

Divide each side by '-12'.
x = 2.666666667

Simplifying
x = 2.666666667

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