4x+19=13x-89

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Solution for 4x+19=13x-89 equation:


Simplifying
4x + 19 = 13x + -89

Reorder the terms:
19 + 4x = 13x + -89

Reorder the terms:
19 + 4x = -89 + 13x

Solving
19 + 4x = -89 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
19 + 4x + -13x = -89 + 13x + -13x

Combine like terms: 4x + -13x = -9x
19 + -9x = -89 + 13x + -13x

Combine like terms: 13x + -13x = 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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