3x+19=6x-2

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Solution for 3x+19=6x-2 equation:


Simplifying
3x + 19 = 6x + -2

Reorder the terms:
19 + 3x = 6x + -2

Reorder the terms:
19 + 3x = -2 + 6x

Solving
19 + 3x = -2 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
19 + 3x + -6x = -2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
19 + -3x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -3x = -2 + 0
19 + -3x = -2

Add '-19' to each side of the equation.
19 + -19 + -3x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = -2 + -19
-3x = -2 + -19

Combine like terms: -2 + -19 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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