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

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


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

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

Remove parenthesis around (-12 + 4x)
3x + -12 + 4x = 6x + -9

Reorder the terms:
-12 + 3x + 4x = 6x + -9

Combine like terms: 3x + 4x = 7x
-12 + 7x = 6x + -9

Reorder the terms:
-12 + 7x = -9 + 6x

Solving
-12 + 7x = -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.
-12 + 7x + -6x = -9 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-12 + 1x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 1x = -9 + 0
-12 + 1x = -9

Add '12' to each side of the equation.
-12 + 12 + 1x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -9 + 12
1x = -9 + 12

Combine like terms: -9 + 12 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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