3x+75=6x-9

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Solution for 3x+75=6x-9 equation:


Simplifying
3x + 75 = 6x + -9

Reorder the terms:
75 + 3x = 6x + -9

Reorder the terms:
75 + 3x = -9 + 6x

Solving
75 + 3x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
75 + 3x + -6x = -9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
75 + -3x = -9 + 0
75 + -3x = -9

Add '-75' to each side of the equation.
75 + -75 + -3x = -9 + -75

Combine like terms: 75 + -75 = 0
0 + -3x = -9 + -75
-3x = -9 + -75

Combine like terms: -9 + -75 = -84
-3x = -84

Divide each side by '-3'.
x = 28

Simplifying
x = 28

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