5x+19=14x-89

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Solution for 5x+19=14x-89 equation:


Simplifying
5x + 19 = 14x + -89

Reorder the terms:
19 + 5x = 14x + -89

Reorder the terms:
19 + 5x = -89 + 14x

Solving
19 + 5x = -89 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
19 + 5x + -14x = -89 + 14x + -14x

Combine like terms: 5x + -14x = -9x
19 + -9x = -89 + 14x + -14x

Combine like terms: 14x + -14x = 0
19 + -9x = -89 + 0
19 + -9x = -89

Add '-19' to each side of the equation.
19 + -19 + -9x = -89 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = -89 + -19
-9x = -89 + -19

Combine like terms: -89 + -19 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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