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

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


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

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

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

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

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

Solving
3 + 2x = -2 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5

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