6x+22=14x+42

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Solution for 6x+22=14x+42 equation:


Simplifying
6x + 22 = 14x + 42

Reorder the terms:
22 + 6x = 14x + 42

Reorder the terms:
22 + 6x = 42 + 14x

Solving
22 + 6x = 42 + 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 = 42 + 14x + -14x

Combine like terms: 6x + -14x = -8x
22 + -8x = 42 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -8x = 42 + 0
22 + -8x = 42

Add '-22' to each side of the equation.
22 + -22 + -8x = 42 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = 42 + -22
-8x = 42 + -22

Combine like terms: 42 + -22 = 20
-8x = 20

Divide each side by '-8'.
x = -2.5

Simplifying
x = -2.5

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