2(x-4)-12=12(4x-1)

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Solution for 2(x-4)-12=12(4x-1) equation:


Simplifying
2(x + -4) + -12 = 12(4x + -1)

Reorder the terms:
2(-4 + x) + -12 = 12(4x + -1)
(-4 * 2 + x * 2) + -12 = 12(4x + -1)
(-8 + 2x) + -12 = 12(4x + -1)

Reorder the terms:
-8 + -12 + 2x = 12(4x + -1)

Combine like terms: -8 + -12 = -20
-20 + 2x = 12(4x + -1)

Reorder the terms:
-20 + 2x = 12(-1 + 4x)
-20 + 2x = (-1 * 12 + 4x * 12)
-20 + 2x = (-12 + 48x)

Solving
-20 + 2x = -12 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-20 + 2x + -48x = -12 + 48x + -48x

Combine like terms: 2x + -48x = -46x
-20 + -46x = -12 + 48x + -48x

Combine like terms: 48x + -48x = 0
-20 + -46x = -12 + 0
-20 + -46x = -12

Add '20' to each side of the equation.
-20 + 20 + -46x = -12 + 20

Combine like terms: -20 + 20 = 0
0 + -46x = -12 + 20
-46x = -12 + 20

Combine like terms: -12 + 20 = 8
-46x = 8

Divide each side by '-46'.
x = -0.1739130435

Simplifying
x = -0.1739130435

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