6x+197=13x-6

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Solution for 6x+197=13x-6 equation:


Simplifying
6x + 197 = 13x + -6

Reorder the terms:
197 + 6x = 13x + -6

Reorder the terms:
197 + 6x = -6 + 13x

Solving
197 + 6x = -6 + 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.
197 + 6x + -13x = -6 + 13x + -13x

Combine like terms: 6x + -13x = -7x
197 + -7x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
197 + -7x = -6 + 0
197 + -7x = -6

Add '-197' to each side of the equation.
197 + -197 + -7x = -6 + -197

Combine like terms: 197 + -197 = 0
0 + -7x = -6 + -197
-7x = -6 + -197

Combine like terms: -6 + -197 = -203
-7x = -203

Divide each side by '-7'.
x = 29

Simplifying
x = 29

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