6x-14=3x-13

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Solution for 6x-14=3x-13 equation:


Simplifying
6x + -14 = 3x + -13

Reorder the terms:
-14 + 6x = 3x + -13

Reorder the terms:
-14 + 6x = -13 + 3x

Solving
-14 + 6x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 6x + -3x = -13 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-14 + 3x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 3x = -13 + 0
-14 + 3x = -13

Add '14' to each side of the equation.
-14 + 14 + 3x = -13 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -13 + 14
3x = -13 + 14

Combine like terms: -13 + 14 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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