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

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


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

Reorder the terms:
6(-2 + x) + -9 = -3(-6x + 9) + -2x
(-2 * 6 + x * 6) + -9 = -3(-6x + 9) + -2x
(-12 + 6x) + -9 = -3(-6x + 9) + -2x

Reorder the terms:
-12 + -9 + 6x = -3(-6x + 9) + -2x

Combine like terms: -12 + -9 = -21
-21 + 6x = -3(-6x + 9) + -2x

Reorder the terms:
-21 + 6x = -3(9 + -6x) + -2x
-21 + 6x = (9 * -3 + -6x * -3) + -2x
-21 + 6x = (-27 + 18x) + -2x

Combine like terms: 18x + -2x = 16x
-21 + 6x = -27 + 16x

Solving
-21 + 6x = -27 + 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.
-21 + 6x + -16x = -27 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-21 + -10x = -27 + 16x + -16x

Combine like terms: 16x + -16x = 0
-21 + -10x = -27 + 0
-21 + -10x = -27

Add '21' to each side of the equation.
-21 + 21 + -10x = -27 + 21

Combine like terms: -21 + 21 = 0
0 + -10x = -27 + 21
-10x = -27 + 21

Combine like terms: -27 + 21 = -6
-10x = -6

Divide each side by '-10'.
x = 0.6

Simplifying
x = 0.6

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