(3x+2)-(x+2)=(7x-12)-(3x+2)

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Solution for (3x+2)-(x+2)=(7x-12)-(3x+2) equation:


Simplifying
(3x + 2) + -1(x + 2) = (7x + -12) + -1(3x + 2)

Reorder the terms:
(2 + 3x) + -1(x + 2) = (7x + -12) + -1(3x + 2)

Remove parenthesis around (2 + 3x)
2 + 3x + -1(x + 2) = (7x + -12) + -1(3x + 2)

Reorder the terms:
2 + 3x + -1(2 + x) = (7x + -12) + -1(3x + 2)
2 + 3x + (2 * -1 + x * -1) = (7x + -12) + -1(3x + 2)
2 + 3x + (-2 + -1x) = (7x + -12) + -1(3x + 2)

Reorder the terms:
2 + -2 + 3x + -1x = (7x + -12) + -1(3x + 2)

Combine like terms: 2 + -2 = 0
0 + 3x + -1x = (7x + -12) + -1(3x + 2)
3x + -1x = (7x + -12) + -1(3x + 2)

Combine like terms: 3x + -1x = 2x
2x = (7x + -12) + -1(3x + 2)

Reorder the terms:
2x = (-12 + 7x) + -1(3x + 2)

Remove parenthesis around (-12 + 7x)
2x = -12 + 7x + -1(3x + 2)

Reorder the terms:
2x = -12 + 7x + -1(2 + 3x)
2x = -12 + 7x + (2 * -1 + 3x * -1)
2x = -12 + 7x + (-2 + -3x)

Reorder the terms:
2x = -12 + -2 + 7x + -3x

Combine like terms: -12 + -2 = -14
2x = -14 + 7x + -3x

Combine like terms: 7x + -3x = 4x
2x = -14 + 4x

Solving
2x = -14 + 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.
2x + -4x = -14 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = -14 + 0
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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