3x+13=6x-14

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


Simplifying
3x + 13 = 6x + -14

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

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

Solving
13 + 3x = -14 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
13 + -3x = -14 + 0
13 + -3x = -14

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

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

Combine like terms: -14 + -13 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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