3x-75=6x+60

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Solution for 3x-75=6x+60 equation:


Simplifying
3x + -75 = 6x + 60

Reorder the terms:
-75 + 3x = 6x + 60

Reorder the terms:
-75 + 3x = 60 + 6x

Solving
-75 + 3x = 60 + 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 = 60 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-75 + -3x = 60 + 6x + -6x

Combine like terms: 6x + -6x = 0
-75 + -3x = 60 + 0
-75 + -3x = 60

Add '75' to each side of the equation.
-75 + 75 + -3x = 60 + 75

Combine like terms: -75 + 75 = 0
0 + -3x = 60 + 75
-3x = 60 + 75

Combine like terms: 60 + 75 = 135
-3x = 135

Divide each side by '-3'.
x = -45

Simplifying
x = -45

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