-28=(3x-2)-(5x+12)

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Solution for -28=(3x-2)-(5x+12) equation:


Simplifying
-28 = (3x + -2) + -1(5x + 12)

Reorder the terms:
-28 = (-2 + 3x) + -1(5x + 12)

Remove parenthesis around (-2 + 3x)
-28 = -2 + 3x + -1(5x + 12)

Reorder the terms:
-28 = -2 + 3x + -1(12 + 5x)
-28 = -2 + 3x + (12 * -1 + 5x * -1)
-28 = -2 + 3x + (-12 + -5x)

Reorder the terms:
-28 = -2 + -12 + 3x + -5x

Combine like terms: -2 + -12 = -14
-28 = -14 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-28 = -14 + -2x

Solving
-28 = -14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-28 + 2x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + 2x = -14 + 0
-28 + 2x = -14

Add '28' to each side of the equation.
-28 + 28 + 2x = -14 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -14 + 28
2x = -14 + 28

Combine like terms: -14 + 28 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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