2x+14=6x-12

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Solution for 2x+14=6x-12 equation:


Simplifying
2x + 14 = 6x + -12

Reorder the terms:
14 + 2x = 6x + -12

Reorder the terms:
14 + 2x = -12 + 6x

Solving
14 + 2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 2x + -6x = -12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
14 + -4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -4x = -12 + 0
14 + -4x = -12

Add '-14' to each side of the equation.
14 + -14 + -4x = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -12 + -14
-4x = -12 + -14

Combine like terms: -12 + -14 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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