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

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


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

Reorder the terms:
6 + -4(-6 + x) = 9 + -6x
6 + (-6 * -4 + x * -4) = 9 + -6x
6 + (24 + -4x) = 9 + -6x

Combine like terms: 6 + 24 = 30
30 + -4x = 9 + -6x

Solving
30 + -4x = 9 + -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.
30 + -4x + 6x = 9 + -6x + 6x

Combine like terms: -4x + 6x = 2x
30 + 2x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
30 + 2x = 9 + 0
30 + 2x = 9

Add '-30' to each side of the equation.
30 + -30 + 2x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 9 + -30
2x = 9 + -30

Combine like terms: 9 + -30 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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