2x-4(x-3)=2(x-8)

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Solution for 2x-4(x-3)=2(x-8) equation: 


Simplifying
2x + -4(x + -3) = 2(x + -8)

Reorder the terms:
2x + -4(-3 + x) = 2(x + -8)
2x + (-3 * -4 + x * -4) = 2(x + -8)
2x + (12 + -4x) = 2(x + -8)

Reorder the terms:
12 + 2x + -4x = 2(x + -8)

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

Reorder the terms:
12 + -2x = 2(-8 + x)
12 + -2x = (-8 * 2 + x * 2)
12 + -2x = (-16 + 2x)

Solving
12 + -2x = -16 + 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.
12 + -2x + -2x = -16 + 2x + -2x

Combine like terms: -2x + -2x = -4x
12 + -4x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -4x = -16 + 0
12 + -4x = -16

Add '-12' to each side of the equation.
12 + -12 + -4x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -16 + -12
-4x = -16 + -12

Combine like terms: -16 + -12 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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