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

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


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

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

Remove parenthesis around (4 + 3x)
x = 4 + 3x + -1(2 + -1x)
x = 4 + 3x + (2 * -1 + -1x * -1)
x = 4 + 3x + (-2 + 1x)

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

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

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

Solving
x = 2 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-3x = 2 + 0
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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