x*5+54=x*9-14

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Solution for x*5+54=x*9-14 equation:


Simplifying
x * 5 + 54 = x * 9 + -14

Reorder the terms for easier multiplication:
5x + 54 = x * 9 + -14

Reorder the terms:
54 + 5x = x * 9 + -14

Reorder the terms for easier multiplication:
54 + 5x = 9x + -14

Reorder the terms:
54 + 5x = -14 + 9x

Solving
54 + 5x = -14 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
54 + 5x + -9x = -14 + 9x + -9x

Combine like terms: 5x + -9x = -4x
54 + -4x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
54 + -4x = -14 + 0
54 + -4x = -14

Add '-54' to each side of the equation.
54 + -54 + -4x = -14 + -54

Combine like terms: 54 + -54 = 0
0 + -4x = -14 + -54
-4x = -14 + -54

Combine like terms: -14 + -54 = -68
-4x = -68

Divide each side by '-4'.
x = 17

Simplifying
x = 17

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