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

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


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

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

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

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

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

Solving
-2 + 2x = 2 + 1x

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.
-2 + 2x + -1x = 2 + 1x + -1x

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

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

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

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

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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