5x+166=13x-10

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Solution for 5x+166=13x-10 equation:


Simplifying
5x + 166 = 13x + -10

Reorder the terms:
166 + 5x = 13x + -10

Reorder the terms:
166 + 5x = -10 + 13x

Solving
166 + 5x = -10 + 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 + 5x + -13x = -10 + 13x + -13x

Combine like terms: 5x + -13x = -8x
166 + -8x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
166 + -8x = -10 + 0
166 + -8x = -10

Add '-166' to each side of the equation.
166 + -166 + -8x = -10 + -166

Combine like terms: 166 + -166 = 0
0 + -8x = -10 + -166
-8x = -10 + -166

Combine like terms: -10 + -166 = -176
-8x = -176

Divide each side by '-8'.
x = 22

Simplifying
x = 22

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