5x+6=14x-13

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Solution for 5x+6=14x-13 equation:


Simplifying
5x + 6 = 14x + -13

Reorder the terms:
6 + 5x = 14x + -13

Reorder the terms:
6 + 5x = -13 + 14x

Solving
6 + 5x = -13 + 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.
6 + 5x + -14x = -13 + 14x + -14x

Combine like terms: 5x + -14x = -9x
6 + -9x = -13 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -9x = -13 + 0
6 + -9x = -13

Add '-6' to each side of the equation.
6 + -6 + -9x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -13 + -6
-9x = -13 + -6

Combine like terms: -13 + -6 = -19
-9x = -19

Divide each side by '-9'.
x = 2.111111111

Simplifying
x = 2.111111111

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