(X+2)-(3x-2)=-7

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Solution for (X+2)-(3x-2)=-7 equation:


Simplifying
(X + 2) + -1(3x + -2) = -7

Reorder the terms:
(2 + X) + -1(3x + -2) = -7

Remove parenthesis around (2 + X)
2 + X + -1(3x + -2) = -7

Reorder the terms:
2 + X + -1(-2 + 3x) = -7
2 + X + (-2 * -1 + 3x * -1) = -7
2 + X + (2 + -3x) = -7

Reorder the terms:
2 + 2 + X + -3x = -7

Combine like terms: 2 + 2 = 4
4 + X + -3x = -7

Solving
4 + X + -3x = -7

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X + -4 + -3x = -7 + -4

Reorder the terms:
4 + -4 + X + -3x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + X + -3x = -7 + -4
X + -3x = -7 + -4

Combine like terms: -7 + -4 = -11
X + -3x = -11

Add '3x' to each side of the equation.
X + -3x + 3x = -11 + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -11 + 3x
X = -11 + 3x

Simplifying
X = -11 + 3x

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