2(1-2x)=-(1+3x)

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


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

Solving
2 + -4x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -4x + 3x = -1 + -3x + 3x

Combine like terms: -4x + 3x = -1x
2 + -1x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + -1x = -1 + 0
2 + -1x = -1

Add '-2' to each side of the equation.
2 + -2 + -1x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -1 + -2
-1x = -1 + -2

Combine like terms: -1 + -2 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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