x*4+268=x*14-12

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Solution for x*4+268=x*14-12 equation:


Simplifying
x * 4 + 268 = x * 14 + -12

Reorder the terms for easier multiplication:
4x + 268 = x * 14 + -12

Reorder the terms:
268 + 4x = x * 14 + -12

Reorder the terms for easier multiplication:
268 + 4x = 14x + -12

Reorder the terms:
268 + 4x = -12 + 14x

Solving
268 + 4x = -12 + 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.
268 + 4x + -14x = -12 + 14x + -14x

Combine like terms: 4x + -14x = -10x
268 + -10x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
268 + -10x = -12 + 0
268 + -10x = -12

Add '-268' to each side of the equation.
268 + -268 + -10x = -12 + -268

Combine like terms: 268 + -268 = 0
0 + -10x = -12 + -268
-10x = -12 + -268

Combine like terms: -12 + -268 = -280
-10x = -280

Divide each side by '-10'.
x = 28

Simplifying
x = 28

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