(7x+12)=(12x-28)

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Solution for (7x+12)=(12x-28) equation:


Simplifying
(7x + 12) = (12x + -28)

Reorder the terms:
(12 + 7x) = (12x + -28)

Remove parenthesis around (12 + 7x)
12 + 7x = (12x + -28)

Reorder the terms:
12 + 7x = (-28 + 12x)

Remove parenthesis around (-28 + 12x)
12 + 7x = -28 + 12x

Solving
12 + 7x = -28 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + 7x + -12x = -28 + 12x + -12x

Combine like terms: 7x + -12x = -5x
12 + -5x = -28 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -5x = -28 + 0
12 + -5x = -28

Add '-12' to each side of the equation.
12 + -12 + -5x = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -28 + -12
-5x = -28 + -12

Combine like terms: -28 + -12 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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