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

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


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

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

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

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

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

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

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

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

Combine like terms: -3x + -3x = -6x
-6x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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