x*3+75=x*9-9

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Solution for x*3+75=x*9-9 equation: 


Simplifying
x * 3 + 75 = x * 9 + -9

Reorder the terms for easier multiplication:
3x + 75 = x * 9 + -9

Reorder the terms:
75 + 3x = x * 9 + -9

Reorder the terms for easier multiplication:
75 + 3x = 9x + -9

Reorder the terms:
75 + 3x = -9 + 9x

Solving
75 + 3x = -9 + 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.
75 + 3x + -9x = -9 + 9x + -9x

Combine like terms: 3x + -9x = -6x
75 + -6x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
75 + -6x = -9 + 0
75 + -6x = -9

Add '-75' to each side of the equation.
75 + -75 + -6x = -9 + -75

Combine like terms: 75 + -75 = 0
0 + -6x = -9 + -75
-6x = -9 + -75

Combine like terms: -9 + -75 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14

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