3x+5=6x-17

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Solution for 3x+5=6x-17 equation:


Simplifying
3x + 5 = 6x + -17

Reorder the terms:
5 + 3x = 6x + -17

Reorder the terms:
5 + 3x = -17 + 6x

Solving
5 + 3x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 3x + -6x = -17 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -17 + 0
5 + -3x = -17

Add '-5' to each side of the equation.
5 + -5 + -3x = -17 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -17 + -5
-3x = -17 + -5

Combine like terms: -17 + -5 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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