12.4x+14=6x-2

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Solution for 12.4x+14=6x-2 equation:


Simplifying
12.4x + 14 = 6x + -2

Reorder the terms:
14 + 12.4x = 6x + -2

Reorder the terms:
14 + 12.4x = -2 + 6x

Solving
14 + 12.4x = -2 + 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 + 12.4x + -6x = -2 + 6x + -6x

Combine like terms: 12.4x + -6x = 6.4x
14 + 6.4x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + 6.4x = -2 + 0
14 + 6.4x = -2

Add '-14' to each side of the equation.
14 + -14 + 6.4x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 6.4x = -2 + -14
6.4x = -2 + -14

Combine like terms: -2 + -14 = -16
6.4x = -16

Divide each side by '6.4'.
x = -2.5

Simplifying
x = -2.5

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