6x+182=13x-14

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Solution for 6x+182=13x-14 equation:


Simplifying
6x + 182 = 13x + -14

Reorder the terms:
182 + 6x = 13x + -14

Reorder the terms:
182 + 6x = -14 + 13x

Solving
182 + 6x = -14 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
182 + 6x + -13x = -14 + 13x + -13x

Combine like terms: 6x + -13x = -7x
182 + -7x = -14 + 13x + -13x

Combine like terms: 13x + -13x = 0
182 + -7x = -14 + 0
182 + -7x = -14

Add '-182' to each side of the equation.
182 + -182 + -7x = -14 + -182

Combine like terms: 182 + -182 = 0
0 + -7x = -14 + -182
-7x = -14 + -182

Combine like terms: -14 + -182 = -196
-7x = -196

Divide each side by '-7'.
x = 28

Simplifying
x = 28

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