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

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


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

Reorder the terms:
6 + -4(-2 + x) = -2x
6 + (-2 * -4 + x * -4) = -2x
6 + (8 + -4x) = -2x

Combine like terms: 6 + 8 = 14
14 + -4x = -2x

Solving
14 + -4x = -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.
14 + -4x + 2x = -2x + 2x

Combine like terms: -4x + 2x = -2x
14 + -2x = -2x + 2x

Combine like terms: -2x + 2x = 0
14 + -2x = 0

Add '-14' to each side of the equation.
14 + -14 + -2x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 0 + -14
-2x = 0 + -14

Combine like terms: 0 + -14 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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