2x+19=9x-2

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Solution for 2x+19=9x-2 equation:


Simplifying
2x + 19 = 9x + -2

Reorder the terms:
19 + 2x = 9x + -2

Reorder the terms:
19 + 2x = -2 + 9x

Solving
19 + 2x = -2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
19 + 2x + -9x = -2 + 9x + -9x

Combine like terms: 2x + -9x = -7x
19 + -7x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
19 + -7x = -2 + 0
19 + -7x = -2

Add '-19' to each side of the equation.
19 + -19 + -7x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -7x = -2 + -19
-7x = -2 + -19

Combine like terms: -2 + -19 = -21
-7x = -21

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

Simplifying
x = 3

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