6(x-12)-3(3x-9)=1

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Solution for 6(x-12)-3(3x-9)=1 equation: 


Simplifying
6(x + -12) + -3(3x + -9) = 1

Reorder the terms:
6(-12 + x) + -3(3x + -9) = 1
(-12 * 6 + x * 6) + -3(3x + -9) = 1
(-72 + 6x) + -3(3x + -9) = 1

Reorder the terms:
-72 + 6x + -3(-9 + 3x) = 1
-72 + 6x + (-9 * -3 + 3x * -3) = 1
-72 + 6x + (27 + -9x) = 1

Reorder the terms:
-72 + 27 + 6x + -9x = 1

Combine like terms: -72 + 27 = -45
-45 + 6x + -9x = 1

Combine like terms: 6x + -9x = -3x
-45 + -3x = 1

Solving
-45 + -3x = 1

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + -3x = 1 + 45

Combine like terms: -45 + 45 = 0
0 + -3x = 1 + 45
-3x = 1 + 45

Combine like terms: 1 + 45 = 46
-3x = 46

Divide each side by '-3'.
x = -15.33333333

Simplifying
x = -15.33333333

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