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

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


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

Reorder the terms:
2x + 6(-4 + x) = 2(x + -6)
2x + (-4 * 6 + x * 6) = 2(x + -6)
2x + (-24 + 6x) = 2(x + -6)

Reorder the terms:
-24 + 2x + 6x = 2(x + -6)

Combine like terms: 2x + 6x = 8x
-24 + 8x = 2(x + -6)

Reorder the terms:
-24 + 8x = 2(-6 + x)
-24 + 8x = (-6 * 2 + x * 2)
-24 + 8x = (-12 + 2x)

Solving
-24 + 8x = -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.
-24 + 8x + -2x = -12 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-24 + 6x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 6x = -12 + 0
-24 + 6x = -12

Add '24' to each side of the equation.
-24 + 24 + 6x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 6x = -12 + 24
6x = -12 + 24

Combine like terms: -12 + 24 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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