2(1-3x)-2(4x-5)=-2

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Solution for 2(1-3x)-2(4x-5)=-2 equation: 


Simplifying
2(1 + -3x) + -2(4x + -5) = -2
(1 * 2 + -3x * 2) + -2(4x + -5) = -2
(2 + -6x) + -2(4x + -5) = -2

Reorder the terms:
2 + -6x + -2(-5 + 4x) = -2
2 + -6x + (-5 * -2 + 4x * -2) = -2
2 + -6x + (10 + -8x) = -2

Reorder the terms:
2 + 10 + -6x + -8x = -2

Combine like terms: 2 + 10 = 12
12 + -6x + -8x = -2

Combine like terms: -6x + -8x = -14x
12 + -14x = -2

Solving
12 + -14x = -2

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -14x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -14x = -2 + -12
-14x = -2 + -12

Combine like terms: -2 + -12 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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