6x+14=8x-22

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Solution for 6x+14=8x-22 equation:


Simplifying
6x + 14 = 8x + -22

Reorder the terms:
14 + 6x = 8x + -22

Reorder the terms:
14 + 6x = -22 + 8x

Solving
14 + 6x = -22 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 6x + -8x = -22 + 8x + -8x

Combine like terms: 6x + -8x = -2x
14 + -2x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 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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