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

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


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

Reorder the terms:
9 + 6(6 + -6x) = 3(2x + 3) + -4
9 + (6 * 6 + -6x * 6) = 3(2x + 3) + -4
9 + (36 + -36x) = 3(2x + 3) + -4

Combine like terms: 9 + 36 = 45
45 + -36x = 3(2x + 3) + -4

Reorder the terms:
45 + -36x = 3(3 + 2x) + -4
45 + -36x = (3 * 3 + 2x * 3) + -4
45 + -36x = (9 + 6x) + -4

Reorder the terms:
45 + -36x = 9 + -4 + 6x

Combine like terms: 9 + -4 = 5
45 + -36x = 5 + 6x

Solving
45 + -36x = 5 + 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.
45 + -36x + -6x = 5 + 6x + -6x

Combine like terms: -36x + -6x = -42x
45 + -42x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
45 + -42x = 5 + 0
45 + -42x = 5

Add '-45' to each side of the equation.
45 + -45 + -42x = 5 + -45

Combine like terms: 45 + -45 = 0
0 + -42x = 5 + -45
-42x = 5 + -45

Combine like terms: 5 + -45 = -40
-42x = -40

Divide each side by '-42'.
x = 0.9523809524

Simplifying
x = 0.9523809524

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