3x+28=12x-71

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Solution for 3x+28=12x-71 equation:


Simplifying
3x + 28 = 12x + -71

Reorder the terms:
28 + 3x = 12x + -71

Reorder the terms:
28 + 3x = -71 + 12x

Solving
28 + 3x = -71 + 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.
28 + 3x + -12x = -71 + 12x + -12x

Combine like terms: 3x + -12x = -9x
28 + -9x = -71 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -9x = -71 + 0
28 + -9x = -71

Add '-28' to each side of the equation.
28 + -28 + -9x = -71 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = -71 + -28
-9x = -71 + -28

Combine like terms: -71 + -28 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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