6x+22=14x-17

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Solution for 6x+22=14x-17 equation:


Simplifying
6x + 22 = 14x + -17

Reorder the terms:
22 + 6x = 14x + -17

Reorder the terms:
22 + 6x = -17 + 14x

Solving
22 + 6x = -17 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
22 + 6x + -14x = -17 + 14x + -14x

Combine like terms: 6x + -14x = -8x
22 + -8x = -17 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -8x = -17 + 0
22 + -8x = -17

Add '-22' to each side of the equation.
22 + -22 + -8x = -17 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -17 + -22
-8x = -17 + -22

Combine like terms: -17 + -22 = -39
-8x = -39

Divide each side by '-8'.
x = 4.875

Simplifying
x = 4.875

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