x*6+215=x*14-9

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Solution for x*6+215=x*14-9 equation:


Simplifying
x * 6 + 215 = x * 14 + -9

Reorder the terms for easier multiplication:
6x + 215 = x * 14 + -9

Reorder the terms:
215 + 6x = x * 14 + -9

Reorder the terms for easier multiplication:
215 + 6x = 14x + -9

Reorder the terms:
215 + 6x = -9 + 14x

Solving
215 + 6x = -9 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
215 + 6x + -14x = -9 + 14x + -14x

Combine like terms: 6x + -14x = -8x
215 + -8x = -9 + 14x + -14x

Combine like terms: 14x + -14x = 0
215 + -8x = -9 + 0
215 + -8x = -9

Add '-215' to each side of the equation.
215 + -215 + -8x = -9 + -215

Combine like terms: 215 + -215 = 0
0 + -8x = -9 + -215
-8x = -9 + -215

Combine like terms: -9 + -215 = -224
-8x = -224

Divide each side by '-8'.
x = 28

Simplifying
x = 28

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