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

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


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

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

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

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

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

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

Solving
-4 + 1x = 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.
-4 + 1x + x = 2 + -1x + x

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

Combine like terms: -1x + x = 0
-4 + 2x = 2 + 0
-4 + 2x = 2

Add '4' to each side of the equation.
-4 + 4 + 2x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 2 + 4
2x = 2 + 4

Combine like terms: 2 + 4 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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