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

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


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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + -1x = -6 + 6 + 2x
-1x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0
-1x = 0 + 2x
-1x = 2x

Solving
-1x = 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.
-1x + -2x = 2x + -2x

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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