6x-13=14x-83

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Solution for 6x-13=14x-83 equation:


Simplifying
6x + -13 = 14x + -83

Reorder the terms:
-13 + 6x = 14x + -83

Reorder the terms:
-13 + 6x = -83 + 14x

Solving
-13 + 6x = -83 + 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.
-13 + 6x + -14x = -83 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-13 + -8x = -83 + 14x + -14x

Combine like terms: 14x + -14x = 0
-13 + -8x = -83 + 0
-13 + -8x = -83

Add '13' to each side of the equation.
-13 + 13 + -8x = -83 + 13

Combine like terms: -13 + 13 = 0
0 + -8x = -83 + 13
-8x = -83 + 13

Combine like terms: -83 + 13 = -70
-8x = -70

Divide each side by '-8'.
x = 8.75

Simplifying
x = 8.75

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