6x+19=7x*13-3x-21

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Solution for 6x+19=7x*13-3x-21 equation:


Simplifying
6x + 19 = 7x * 13 + -3x + -21

Reorder the terms:
19 + 6x = 7x * 13 + -3x + -21

Reorder the terms for easier multiplication:
19 + 6x = 7 * 13x + -3x + -21

Multiply 7 * 13
19 + 6x = 91x + -3x + -21

Reorder the terms:
19 + 6x = -21 + 91x + -3x

Combine like terms: 91x + -3x = 88x
19 + 6x = -21 + 88x

Solving
19 + 6x = -21 + 88x

Solving for variable 'x'.

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

Add '-88x' to each side of the equation.
19 + 6x + -88x = -21 + 88x + -88x

Combine like terms: 6x + -88x = -82x
19 + -82x = -21 + 88x + -88x

Combine like terms: 88x + -88x = 0
19 + -82x = -21 + 0
19 + -82x = -21

Add '-19' to each side of the equation.
19 + -19 + -82x = -21 + -19

Combine like terms: 19 + -19 = 0
0 + -82x = -21 + -19
-82x = -21 + -19

Combine like terms: -21 + -19 = -40
-82x = -40

Divide each side by '-82'.
x = 0.487804878

Simplifying
x = 0.487804878

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