-4(4x-4)-x=-2(x-5)

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Solution for -4(4x-4)-x=-2(x-5) equation: 


Simplifying
-4(4x + -4) + -1x = -2(x + -5)

Reorder the terms:
-4(-4 + 4x) + -1x = -2(x + -5)
(-4 * -4 + 4x * -4) + -1x = -2(x + -5)
(16 + -16x) + -1x = -2(x + -5)

Combine like terms: -16x + -1x = -17x
16 + -17x = -2(x + -5)

Reorder the terms:
16 + -17x = -2(-5 + x)
16 + -17x = (-5 * -2 + x * -2)
16 + -17x = (10 + -2x)

Solving
16 + -17x = 10 + -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 + -17x + 2x = 10 + -2x + 2x

Combine like terms: -17x + 2x = -15x
16 + -15x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -15x = 10 + 0
16 + -15x = 10

Add '-16' to each side of the equation.
16 + -16 + -15x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -15x = 10 + -16
-15x = 10 + -16

Combine like terms: 10 + -16 = -6
-15x = -6

Divide each side by '-15'.
x = 0.4

Simplifying
x = 0.4

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