3x-(4x+6)=2x-12

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Solution for 3x-(4x+6)=2x-12 equation:


Simplifying
3x + -1(4x + 6) = 2x + -12

Reorder the terms:
3x + -1(6 + 4x) = 2x + -12
3x + (6 * -1 + 4x * -1) = 2x + -12
3x + (-6 + -4x) = 2x + -12

Reorder the terms:
-6 + 3x + -4x = 2x + -12

Combine like terms: 3x + -4x = -1x
-6 + -1x = 2x + -12

Reorder the terms:
-6 + -1x = -12 + 2x

Solving
-6 + -1x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + -1x + -2x = -12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-6 + -3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -3x = -12 + 0
-6 + -3x = -12

Add '6' to each side of the equation.
-6 + 6 + -3x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -12 + 6
-3x = -12 + 6

Combine like terms: -12 + 6 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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