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

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


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

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

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

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

Solving
-12 + 3x = -4 + 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.
-12 + 3x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 1x = -4 + 0
-12 + 1x = -4

Add '12' to each side of the equation.
-12 + 12 + 1x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -4 + 12
1x = -4 + 12

Combine like terms: -4 + 12 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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