6x-(-6x+9)=(x-4)-6(9x-3)

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


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

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

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

Combine like terms: 6x + 6x = 12x
-9 + 12x = (x + -4) + -6(9x + -3)

Reorder the terms:
-9 + 12x = (-4 + x) + -6(9x + -3)

Remove parenthesis around (-4 + x)
-9 + 12x = -4 + x + -6(9x + -3)

Reorder the terms:
-9 + 12x = -4 + x + -6(-3 + 9x)
-9 + 12x = -4 + x + (-3 * -6 + 9x * -6)
-9 + 12x = -4 + x + (18 + -54x)

Reorder the terms:
-9 + 12x = -4 + 18 + x + -54x

Combine like terms: -4 + 18 = 14
-9 + 12x = 14 + x + -54x

Combine like terms: x + -54x = -53x
-9 + 12x = 14 + -53x

Solving
-9 + 12x = 14 + -53x

Solving for variable 'x'.

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

Add '53x' to each side of the equation.
-9 + 12x + 53x = 14 + -53x + 53x

Combine like terms: 12x + 53x = 65x
-9 + 65x = 14 + -53x + 53x

Combine like terms: -53x + 53x = 0
-9 + 65x = 14 + 0
-9 + 65x = 14

Add '9' to each side of the equation.
-9 + 9 + 65x = 14 + 9

Combine like terms: -9 + 9 = 0
0 + 65x = 14 + 9
65x = 14 + 9

Combine like terms: 14 + 9 = 23
65x = 23

Divide each side by '65'.
x = 0.3538461538

Simplifying
x = 0.3538461538

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