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

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


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

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

Reorder the terms:
8 + -2x = 2(-6 + x)
8 + -2x = (-6 * 2 + x * 2)
8 + -2x = (-12 + 2x)

Solving
8 + -2x = -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.
8 + -2x + -2x = -12 + 2x + -2x

Combine like terms: -2x + -2x = -4x
8 + -4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -4x = -12 + 0
8 + -4x = -12

Add '-8' to each side of the equation.
8 + -8 + -4x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -12 + -8
-4x = -12 + -8

Combine like terms: -12 + -8 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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