6x-14=4x+22

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Solution for 6x-14=4x+22 equation:


Simplifying
6x + -14 = 4x + 22

Reorder the terms:
-14 + 6x = 4x + 22

Reorder the terms:
-14 + 6x = 22 + 4x

Solving
-14 + 6x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 6x + -4x = 22 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-14 + 2x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 2x = 22 + 0
-14 + 2x = 22

Add '14' to each side of the equation.
-14 + 14 + 2x = 22 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 22 + 14
2x = 22 + 14

Combine like terms: 22 + 14 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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