5x+6=17x-2

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Solution for 5x+6=17x-2 equation:


Simplifying
5x + 6 = 17x + -2

Reorder the terms:
6 + 5x = 17x + -2

Reorder the terms:
6 + 5x = -2 + 17x

Solving
6 + 5x = -2 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + 5x + -17x = -2 + 17x + -17x

Combine like terms: 5x + -17x = -12x
6 + -12x = -2 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + -12x = -2 + 0
6 + -12x = -2

Add '-6' to each side of the equation.
6 + -6 + -12x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = -2 + -6
-12x = -2 + -6

Combine like terms: -2 + -6 = -8
-12x = -8

Divide each side by '-12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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