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

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


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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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