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

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


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

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

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

Solving
16 + -4x = -2 + 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.
16 + -4x + -2x = -2 + 2x + -2x

Combine like terms: -4x + -2x = -6x
16 + -6x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -6x = -2 + 0
16 + -6x = -2

Add '-16' to each side of the equation.
16 + -16 + -6x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -2 + -16
-6x = -2 + -16

Combine like terms: -2 + -16 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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