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

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


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

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

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

Combine like terms: -18 + -9 = -27
-27 + 6x = -6(-4x + 3) + -3x

Reorder the terms:
-27 + 6x = -6(3 + -4x) + -3x
-27 + 6x = (3 * -6 + -4x * -6) + -3x
-27 + 6x = (-18 + 24x) + -3x

Combine like terms: 24x + -3x = 21x
-27 + 6x = -18 + 21x

Solving
-27 + 6x = -18 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-27 + 6x + -21x = -18 + 21x + -21x

Combine like terms: 6x + -21x = -15x
-27 + -15x = -18 + 21x + -21x

Combine like terms: 21x + -21x = 0
-27 + -15x = -18 + 0
-27 + -15x = -18

Add '27' to each side of the equation.
-27 + 27 + -15x = -18 + 27

Combine like terms: -27 + 27 = 0
0 + -15x = -18 + 27
-15x = -18 + 27

Combine like terms: -18 + 27 = 9
-15x = 9

Divide each side by '-15'.
x = -0.6

Simplifying
x = -0.6

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