6x+22=14x-74

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Solution for 6x+22=14x-74 equation:


Simplifying
6x + 22 = 14x + -74

Reorder the terms:
22 + 6x = 14x + -74

Reorder the terms:
22 + 6x = -74 + 14x

Solving
22 + 6x = -74 + 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 = -74 + 14x + -14x

Combine like terms: 6x + -14x = -8x
22 + -8x = -74 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -8x = -74 + 0
22 + -8x = -74

Add '-22' to each side of the equation.
22 + -22 + -8x = -74 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -74 + -22
-8x = -74 + -22

Combine like terms: -74 + -22 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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