3x+1=12x-46

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Solution for 3x+1=12x-46 equation:


Simplifying
3x + 1 = 12x + -46

Reorder the terms:
1 + 3x = 12x + -46

Reorder the terms:
1 + 3x = -46 + 12x

Solving
1 + 3x = -46 + 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.
1 + 3x + -12x = -46 + 12x + -12x

Combine like terms: 3x + -12x = -9x
1 + -9x = -46 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -9x = -46 + 0
1 + -9x = -46

Add '-1' to each side of the equation.
1 + -1 + -9x = -46 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -46 + -1
-9x = -46 + -1

Combine like terms: -46 + -1 = -47
-9x = -47

Divide each side by '-9'.
x = 5.222222222

Simplifying
x = 5.222222222

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