6x+286=16x-14

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Solution for 6x+286=16x-14 equation:


Simplifying
6x + 286 = 16x + -14

Reorder the terms:
286 + 6x = 16x + -14

Reorder the terms:
286 + 6x = -14 + 16x

Solving
286 + 6x = -14 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
286 + 6x + -16x = -14 + 16x + -16x

Combine like terms: 6x + -16x = -10x
286 + -10x = -14 + 16x + -16x

Combine like terms: 16x + -16x = 0
286 + -10x = -14 + 0
286 + -10x = -14

Add '-286' to each side of the equation.
286 + -286 + -10x = -14 + -286

Combine like terms: 286 + -286 = 0
0 + -10x = -14 + -286
-10x = -14 + -286

Combine like terms: -14 + -286 = -300
-10x = -300

Divide each side by '-10'.
x = 30

Simplifying
x = 30

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