2(2x-4)-4(x-4)=1(3x)

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Solution for 2(2x-4)-4(x-4)=1(3x) equation:


Simplifying
2(2x + -4) + -4(x + -4) = 1(3x)

Reorder the terms:
2(-4 + 2x) + -4(x + -4) = 1(3x)
(-4 * 2 + 2x * 2) + -4(x + -4) = 1(3x)
(-8 + 4x) + -4(x + -4) = 1(3x)

Reorder the terms:
-8 + 4x + -4(-4 + x) = 1(3x)
-8 + 4x + (-4 * -4 + x * -4) = 1(3x)
-8 + 4x + (16 + -4x) = 1(3x)

Reorder the terms:
-8 + 16 + 4x + -4x = 1(3x)

Combine like terms: -8 + 16 = 8
8 + 4x + -4x = 1(3x)

Combine like terms: 4x + -4x = 0
8 + 0 = 1(3x)
8 = 1(3x)

Remove parenthesis around (3x)
8 = 1 * 3x

Multiply 1 * 3
8 = 3x

Solving
8 = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -3x = 0

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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