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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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