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

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


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

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

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

Solving
4 + -1x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + -1x + -4x = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
4 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -5x = -8 + 0
4 + -5x = -8

Add '-4' to each side of the equation.
4 + -4 + -5x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -8 + -4
-5x = -8 + -4

Combine like terms: -8 + -4 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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