3x+3=12x-17

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Solution for 3x+3=12x-17 equation:


Simplifying
3x + 3 = 12x + -17

Reorder the terms:
3 + 3x = 12x + -17

Reorder the terms:
3 + 3x = -17 + 12x

Solving
3 + 3x = -17 + 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.
3 + 3x + -12x = -17 + 12x + -12x

Combine like terms: 3x + -12x = -9x
3 + -9x = -17 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -9x = -17 + 0
3 + -9x = -17

Add '-3' to each side of the equation.
3 + -3 + -9x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -17 + -3
-9x = -17 + -3

Combine like terms: -17 + -3 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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