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

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


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

Reorder the terms:
1 + -1(-2 + x) = 3x + 1
1 + (-2 * -1 + x * -1) = 3x + 1
1 + (2 + -1x) = 3x + 1

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

Reorder the terms:
3 + -1x = 1 + 3x

Solving
3 + -1x = 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.
3 + -1x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + -4x = 1 + 0
3 + -4x = 1

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

Combine like terms: 3 + -3 = 0
0 + -4x = 1 + -3
-4x = 1 + -3

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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