3x-(x-2)+5=x-5

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Solution for 3x-(x-2)+5=x-5 equation:


Simplifying
3x + -1(x + -2) + 5 = x + -5

Reorder the terms:
3x + -1(-2 + x) + 5 = x + -5
3x + (-2 * -1 + x * -1) + 5 = x + -5
3x + (2 + -1x) + 5 = x + -5

Reorder the terms:
2 + 5 + 3x + -1x = x + -5

Combine like terms: 2 + 5 = 7
7 + 3x + -1x = x + -5

Combine like terms: 3x + -1x = 2x
7 + 2x = x + -5

Reorder the terms:
7 + 2x = -5 + x

Solving
7 + 2x = -5 + 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.
7 + 2x + -1x = -5 + x + -1x

Combine like terms: 2x + -1x = 1x
7 + 1x = -5 + x + -1x

Combine like terms: x + -1x = 0
7 + 1x = -5 + 0
7 + 1x = -5

Add '-7' to each side of the equation.
7 + -7 + 1x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -5 + -7
1x = -5 + -7

Combine like terms: -5 + -7 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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