2x-8=4(x-6)

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Solution for 2x-8=4(x-6) equation:


Simplifying
2x + -8 = 4(x + -6)

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

Reorder the terms:
-8 + 2x = 4(-6 + x)
-8 + 2x = (-6 * 4 + x * 4)
-8 + 2x = (-24 + 4x)

Solving
-8 + 2x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 2x + -4x = -24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-8 + -2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -2x = -24 + 0
-8 + -2x = -24

Add '8' to each side of the equation.
-8 + 8 + -2x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -24 + 8
-2x = -24 + 8

Combine like terms: -24 + 8 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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