5x-(8x-4)-4=6-2(3x+9)

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Solution for 5x-(8x-4)-4=6-2(3x+9) equation:


Simplifying
5x + -1(8x + -4) + -4 = 6 + -2(3x + 9)

Reorder the terms:
5x + -1(-4 + 8x) + -4 = 6 + -2(3x + 9)
5x + (-4 * -1 + 8x * -1) + -4 = 6 + -2(3x + 9)
5x + (4 + -8x) + -4 = 6 + -2(3x + 9)

Reorder the terms:
4 + -4 + 5x + -8x = 6 + -2(3x + 9)

Combine like terms: 4 + -4 = 0
0 + 5x + -8x = 6 + -2(3x + 9)
5x + -8x = 6 + -2(3x + 9)

Combine like terms: 5x + -8x = -3x
-3x = 6 + -2(3x + 9)

Reorder the terms:
-3x = 6 + -2(9 + 3x)
-3x = 6 + (9 * -2 + 3x * -2)
-3x = 6 + (-18 + -6x)

Combine like terms: 6 + -18 = -12
-3x = -12 + -6x

Solving
-3x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3x + 6x = -12 + -6x + 6x

Combine like terms: -3x + 6x = 3x
3x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
3x = -12 + 0
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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