3x+40=12x-41

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Solution for 3x+40=12x-41 equation:


Simplifying
3x + 40 = 12x + -41

Reorder the terms:
40 + 3x = 12x + -41

Reorder the terms:
40 + 3x = -41 + 12x

Solving
40 + 3x = -41 + 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.
40 + 3x + -12x = -41 + 12x + -12x

Combine like terms: 3x + -12x = -9x
40 + -9x = -41 + 12x + -12x

Combine like terms: 12x + -12x = 0
40 + -9x = -41 + 0
40 + -9x = -41

Add '-40' to each side of the equation.
40 + -40 + -9x = -41 + -40

Combine like terms: 40 + -40 = 0
0 + -9x = -41 + -40
-9x = -41 + -40

Combine like terms: -41 + -40 = -81
-9x = -81

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

Simplifying
x = 9

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