3x+19=12x-23

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Solution for 3x+19=12x-23 equation:


Simplifying
3x + 19 = 12x + -23

Reorder the terms:
19 + 3x = 12x + -23

Reorder the terms:
19 + 3x = -23 + 12x

Solving
19 + 3x = -23 + 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.
19 + 3x + -12x = -23 + 12x + -12x

Combine like terms: 3x + -12x = -9x
19 + -9x = -23 + 12x + -12x

Combine like terms: 12x + -12x = 0
19 + -9x = -23 + 0
19 + -9x = -23

Add '-19' to each side of the equation.
19 + -19 + -9x = -23 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = -23 + -19
-9x = -23 + -19

Combine like terms: -23 + -19 = -42
-9x = -42

Divide each side by '-9'.
x = 4.666666667

Simplifying
x = 4.666666667

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