6x+256=15x-14

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Solution for 6x+256=15x-14 equation:


Simplifying
6x + 256 = 15x + -14

Reorder the terms:
256 + 6x = 15x + -14

Reorder the terms:
256 + 6x = -14 + 15x

Solving
256 + 6x = -14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
256 + 6x + -15x = -14 + 15x + -15x

Combine like terms: 6x + -15x = -9x
256 + -9x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
256 + -9x = -14 + 0
256 + -9x = -14

Add '-256' to each side of the equation.
256 + -256 + -9x = -14 + -256

Combine like terms: 256 + -256 = 0
0 + -9x = -14 + -256
-9x = -14 + -256

Combine like terms: -14 + -256 = -270
-9x = -270

Divide each side by '-9'.
x = 30

Simplifying
x = 30

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