(4x-9)+8(2x+3)-12=x

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Solution for (4x-9)+8(2x+3)-12=x equation:


Simplifying
(4x + -9) + 8(2x + 3) + -12 = x

Reorder the terms:
(-9 + 4x) + 8(2x + 3) + -12 = x

Remove parenthesis around (-9 + 4x)
-9 + 4x + 8(2x + 3) + -12 = x

Reorder the terms:
-9 + 4x + 8(3 + 2x) + -12 = x
-9 + 4x + (3 * 8 + 2x * 8) + -12 = x
-9 + 4x + (24 + 16x) + -12 = x

Reorder the terms:
-9 + 24 + -12 + 4x + 16x = x

Combine like terms: -9 + 24 = 15
15 + -12 + 4x + 16x = x

Combine like terms: 15 + -12 = 3
3 + 4x + 16x = x

Combine like terms: 4x + 16x = 20x
3 + 20x = x

Solving
3 + 20x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 20x + -1x = x + -1x

Combine like terms: 20x + -1x = 19x
3 + 19x = x + -1x

Combine like terms: x + -1x = 0
3 + 19x = 0

Add '-3' to each side of the equation.
3 + -3 + 19x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 19x = 0 + -3
19x = 0 + -3

Combine like terms: 0 + -3 = -3
19x = -3

Divide each side by '19'.
x = -0.1578947368

Simplifying
x = -0.1578947368

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