6x+166=13x-9

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Solution for 6x+166=13x-9 equation:


Simplifying
6x + 166 = 13x + -9

Reorder the terms:
166 + 6x = 13x + -9

Reorder the terms:
166 + 6x = -9 + 13x

Solving
166 + 6x = -9 + 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.
166 + 6x + -13x = -9 + 13x + -13x

Combine like terms: 6x + -13x = -7x
166 + -7x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
166 + -7x = -9 + 0
166 + -7x = -9

Add '-166' to each side of the equation.
166 + -166 + -7x = -9 + -166

Combine like terms: 166 + -166 = 0
0 + -7x = -9 + -166
-7x = -9 + -166

Combine like terms: -9 + -166 = -175
-7x = -175

Divide each side by '-7'.
x = 25

Simplifying
x = 25

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