3x+26=12x-82

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Solution for 3x+26=12x-82 equation:


Simplifying
3x + 26 = 12x + -82

Reorder the terms:
26 + 3x = 12x + -82

Reorder the terms:
26 + 3x = -82 + 12x

Solving
26 + 3x = -82 + 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.
26 + 3x + -12x = -82 + 12x + -12x

Combine like terms: 3x + -12x = -9x
26 + -9x = -82 + 12x + -12x

Combine like terms: 12x + -12x = 0
26 + -9x = -82 + 0
26 + -9x = -82

Add '-26' to each side of the equation.
26 + -26 + -9x = -82 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = -82 + -26
-9x = -82 + -26

Combine like terms: -82 + -26 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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