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

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


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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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