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

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


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

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

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

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

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

Combine like terms: 2x + -2x = 0
16 + -6x = -4 + 0
16 + -6x = -4

Add '-16' to each side of the equation.
16 + -16 + -6x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -4 + -16
-6x = -4 + -16

Combine like terms: -4 + -16 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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