3x+20=12x-61

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Solution for 3x+20=12x-61 equation:


Simplifying
3x + 20 = 12x + -61

Reorder the terms:
20 + 3x = 12x + -61

Reorder the terms:
20 + 3x = -61 + 12x

Solving
20 + 3x = -61 + 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.
20 + 3x + -12x = -61 + 12x + -12x

Combine like terms: 3x + -12x = -9x
20 + -9x = -61 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -9x = -61 + 0
20 + -9x = -61

Add '-20' to each side of the equation.
20 + -20 + -9x = -61 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = -61 + -20
-9x = -61 + -20

Combine like terms: -61 + -20 = -81
-9x = -81

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

Simplifying
x = 9

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