6x+14=8x-16

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Solution for 6x+14=8x-16 equation:


Simplifying
6x + 14 = 8x + -16

Reorder the terms:
14 + 6x = 8x + -16

Reorder the terms:
14 + 6x = -16 + 8x

Solving
14 + 6x = -16 + 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 = -16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
14 + -2x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -2x = -16 + 0
14 + -2x = -16

Add '-14' to each side of the equation.
14 + -14 + -2x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -16 + -14
-2x = -16 + -14

Combine like terms: -16 + -14 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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