13x+6=14x-8

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Solution for 13x+6=14x-8 equation:


Simplifying
13x + 6 = 14x + -8

Reorder the terms:
6 + 13x = 14x + -8

Reorder the terms:
6 + 13x = -8 + 14x

Solving
6 + 13x = -8 + 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 + 13x + -14x = -8 + 14x + -14x

Combine like terms: 13x + -14x = -1x
6 + -1x = -8 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -1x = -8 + 0
6 + -1x = -8

Add '-6' to each side of the equation.
6 + -6 + -1x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -8 + -6
-1x = -8 + -6

Combine like terms: -8 + -6 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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