4(4x-2)+4x=6(x-1)

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Solution for 4(4x-2)+4x=6(x-1) equation:


Simplifying
4(4x + -2) + 4x = 6(x + -1)

Reorder the terms:
4(-2 + 4x) + 4x = 6(x + -1)
(-2 * 4 + 4x * 4) + 4x = 6(x + -1)
(-8 + 16x) + 4x = 6(x + -1)

Combine like terms: 16x + 4x = 20x
-8 + 20x = 6(x + -1)

Reorder the terms:
-8 + 20x = 6(-1 + x)
-8 + 20x = (-1 * 6 + x * 6)
-8 + 20x = (-6 + 6x)

Solving
-8 + 20x = -6 + 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.
-8 + 20x + -6x = -6 + 6x + -6x

Combine like terms: 20x + -6x = 14x
-8 + 14x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 14x = -6 + 0
-8 + 14x = -6

Add '8' to each side of the equation.
-8 + 8 + 14x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = -6 + 8
14x = -6 + 8

Combine like terms: -6 + 8 = 2
14x = 2

Divide each side by '14'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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