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

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


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

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

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

Reorder the terms:
-1 + -2x = 1 + 3x

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

Combine like terms: -2x + -3x = -5x
-1 + -5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -5x = 1 + 0
-1 + -5x = 1

Add '1' to each side of the equation.
-1 + 1 + -5x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 1 + 1
-5x = 1 + 1

Combine like terms: 1 + 1 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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