4(6-4x)+8x=x-6(x+1)

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Solution for 4(6-4x)+8x=x-6(x+1) equation:


Simplifying
4(6 + -4x) + 8x = x + -6(x + 1)
(6 * 4 + -4x * 4) + 8x = x + -6(x + 1)
(24 + -16x) + 8x = x + -6(x + 1)

Combine like terms: -16x + 8x = -8x
24 + -8x = x + -6(x + 1)

Reorder the terms:
24 + -8x = x + -6(1 + x)
24 + -8x = x + (1 * -6 + x * -6)
24 + -8x = x + (-6 + -6x)

Reorder the terms:
24 + -8x = -6 + x + -6x

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

Solving
24 + -8x = -6 + -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.
24 + -8x + 5x = -6 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
24 + -3x = -6 + 0
24 + -3x = -6

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

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

Combine like terms: -6 + -24 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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