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

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Solution for -2(x-5)=4(x-1)-4 equation: 


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

Reorder the terms:
-2(-5 + x) = 4(x + -1) + -4
(-5 * -2 + x * -2) = 4(x + -1) + -4
(10 + -2x) = 4(x + -1) + -4

Reorder the terms:
10 + -2x = 4(-1 + x) + -4
10 + -2x = (-1 * 4 + x * 4) + -4
10 + -2x = (-4 + 4x) + -4

Reorder the terms:
10 + -2x = -4 + -4 + 4x

Combine like terms: -4 + -4 = -8
10 + -2x = -8 + 4x

Solving
10 + -2x = -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.
10 + -2x + -4x = -8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = -8 + 0
10 + -6x = -8

Add '-10' to each side of the equation.
10 + -10 + -6x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -8 + -10
-6x = -8 + -10

Combine like terms: -8 + -10 = -18
-6x = -18

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

Simplifying
x = 3

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