3x+17=12x-1

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Solution for 3x+17=12x-1 equation:


Simplifying
3x + 17 = 12x + -1

Reorder the terms:
17 + 3x = 12x + -1

Reorder the terms:
17 + 3x = -1 + 12x

Solving
17 + 3x = -1 + 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.
17 + 3x + -12x = -1 + 12x + -12x

Combine like terms: 3x + -12x = -9x
17 + -9x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
17 + -9x = -1 + 0
17 + -9x = -1

Add '-17' to each side of the equation.
17 + -17 + -9x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -1 + -17
-9x = -1 + -17

Combine like terms: -1 + -17 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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