4x-9(6x+12)=16x+9

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Solution for 4x-9(6x+12)=16x+9 equation:


Simplifying
4x + -9(6x + 12) = 16x + 9

Reorder the terms:
4x + -9(12 + 6x) = 16x + 9
4x + (12 * -9 + 6x * -9) = 16x + 9
4x + (-108 + -54x) = 16x + 9

Reorder the terms:
-108 + 4x + -54x = 16x + 9

Combine like terms: 4x + -54x = -50x
-108 + -50x = 16x + 9

Reorder the terms:
-108 + -50x = 9 + 16x

Solving
-108 + -50x = 9 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-108 + -50x + -16x = 9 + 16x + -16x

Combine like terms: -50x + -16x = -66x
-108 + -66x = 9 + 16x + -16x

Combine like terms: 16x + -16x = 0
-108 + -66x = 9 + 0
-108 + -66x = 9

Add '108' to each side of the equation.
-108 + 108 + -66x = 9 + 108

Combine like terms: -108 + 108 = 0
0 + -66x = 9 + 108
-66x = 9 + 108

Combine like terms: 9 + 108 = 117
-66x = 117

Divide each side by '-66'.
x = -1.772727273

Simplifying
x = -1.772727273

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