3x-(x-2)+2(2+x)=4-2x-(x+3)

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Solution for 3x-(x-2)+2(2+x)=4-2x-(x+3) equation: 


Simplifying
3x + -1(x + -2) + 2(2 + x) = 4 + -2x + -1(x + 3)

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

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

Combine like terms: 2 + 4 = 6
6 + 3x + -1x + 2x = 4 + -2x + -1(x + 3)

Combine like terms: 3x + -1x = 2x
6 + 2x + 2x = 4 + -2x + -1(x + 3)

Combine like terms: 2x + 2x = 4x
6 + 4x = 4 + -2x + -1(x + 3)

Reorder the terms:
6 + 4x = 4 + -2x + -1(3 + x)
6 + 4x = 4 + -2x + (3 * -1 + x * -1)
6 + 4x = 4 + -2x + (-3 + -1x)

Reorder the terms:
6 + 4x = 4 + -3 + -2x + -1x

Combine like terms: 4 + -3 = 1
6 + 4x = 1 + -2x + -1x

Combine like terms: -2x + -1x = -3x
6 + 4x = 1 + -3x

Solving
6 + 4x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 4x + 3x = 1 + -3x + 3x

Combine like terms: 4x + 3x = 7x
6 + 7x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 7x = 1 + 0
6 + 7x = 1

Add '-6' to each side of the equation.
6 + -6 + 7x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 1 + -6
7x = 1 + -6

Combine like terms: 1 + -6 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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