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

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


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

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

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

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

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

Solving
-6 + 2x = -8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-6 + 2x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-6 + -4x = -8 + 0
-6 + -4x = -8

Add '6' to each side of the equation.
-6 + 6 + -4x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -8 + 6
-4x = -8 + 6

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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