12x-(4x-6)=3x-(9x-27)

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Solution for 12x-(4x-6)=3x-(9x-27) equation:


Simplifying
12x + -1(4x + -6) = 3x + -1(9x + -27)

Reorder the terms:
12x + -1(-6 + 4x) = 3x + -1(9x + -27)
12x + (-6 * -1 + 4x * -1) = 3x + -1(9x + -27)
12x + (6 + -4x) = 3x + -1(9x + -27)

Reorder the terms:
6 + 12x + -4x = 3x + -1(9x + -27)

Combine like terms: 12x + -4x = 8x
6 + 8x = 3x + -1(9x + -27)

Reorder the terms:
6 + 8x = 3x + -1(-27 + 9x)
6 + 8x = 3x + (-27 * -1 + 9x * -1)
6 + 8x = 3x + (27 + -9x)

Reorder the terms:
6 + 8x = 27 + 3x + -9x

Combine like terms: 3x + -9x = -6x
6 + 8x = 27 + -6x

Solving
6 + 8x = 27 + -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.
6 + 8x + 6x = 27 + -6x + 6x

Combine like terms: 8x + 6x = 14x
6 + 14x = 27 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 14x = 27 + 0
6 + 14x = 27

Add '-6' to each side of the equation.
6 + -6 + 14x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 27 + -6
14x = 27 + -6

Combine like terms: 27 + -6 = 21
14x = 21

Divide each side by '14'.
x = 1.5

Simplifying
x = 1.5

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