5+(x-2)=2-(x+4)

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Solution for 5+(x-2)=2-(x+4) equation:


Simplifying
5 + (x + -2) = 2 + -1(x + 4)

Reorder the terms:
5 + (-2 + x) = 2 + -1(x + 4)

Remove parenthesis around (-2 + x)
5 + -2 + x = 2 + -1(x + 4)

Combine like terms: 5 + -2 = 3
3 + x = 2 + -1(x + 4)

Reorder the terms:
3 + x = 2 + -1(4 + x)
3 + x = 2 + (4 * -1 + x * -1)
3 + x = 2 + (-4 + -1x)

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

Solving
3 + x = -2 + -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.
3 + x + x = -2 + -1x + x

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

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

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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