2(12x-3)-3(1-3x)=6(x-10)

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Solution for 2(12x-3)-3(1-3x)=6(x-10) equation:


Simplifying
2(12x + -3) + -3(1 + -3x) = 6(x + -10)

Reorder the terms:
2(-3 + 12x) + -3(1 + -3x) = 6(x + -10)
(-3 * 2 + 12x * 2) + -3(1 + -3x) = 6(x + -10)
(-6 + 24x) + -3(1 + -3x) = 6(x + -10)
-6 + 24x + (1 * -3 + -3x * -3) = 6(x + -10)
-6 + 24x + (-3 + 9x) = 6(x + -10)

Reorder the terms:
-6 + -3 + 24x + 9x = 6(x + -10)

Combine like terms: -6 + -3 = -9
-9 + 24x + 9x = 6(x + -10)

Combine like terms: 24x + 9x = 33x
-9 + 33x = 6(x + -10)

Reorder the terms:
-9 + 33x = 6(-10 + x)
-9 + 33x = (-10 * 6 + x * 6)
-9 + 33x = (-60 + 6x)

Solving
-9 + 33x = -60 + 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.
-9 + 33x + -6x = -60 + 6x + -6x

Combine like terms: 33x + -6x = 27x
-9 + 27x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + 27x = -60 + 0
-9 + 27x = -60

Add '9' to each side of the equation.
-9 + 9 + 27x = -60 + 9

Combine like terms: -9 + 9 = 0
0 + 27x = -60 + 9
27x = -60 + 9

Combine like terms: -60 + 9 = -51
27x = -51

Divide each side by '27'.
x = -1.888888889

Simplifying
x = -1.888888889

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