3x-(x-2)=-(x+7)+2

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Solution for 3x-(x-2)=-(x+7)+2 equation: 


Simplifying
3x + -1(x + -2) = -1(x + 7) + 2

Reorder the terms:
3x + -1(-2 + x) = -1(x + 7) + 2
3x + (-2 * -1 + x * -1) = -1(x + 7) + 2
3x + (2 + -1x) = -1(x + 7) + 2

Reorder the terms:
2 + 3x + -1x = -1(x + 7) + 2

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

Reorder the terms:
2 + 2x = -1(7 + x) + 2
2 + 2x = (7 * -1 + x * -1) + 2
2 + 2x = (-7 + -1x) + 2

Reorder the terms:
2 + 2x = -7 + 2 + -1x

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

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 2x + x = -5 + -1x + x

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

Combine like terms: -1x + x = 0
2 + 3x = -5 + 0
2 + 3x = -5

Add '-2' to each side of the equation.
2 + -2 + 3x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -5 + -2
3x = -5 + -2

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

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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