6x+33=15x-75

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Solution for 6x+33=15x-75 equation:


Simplifying
6x + 33 = 15x + -75

Reorder the terms:
33 + 6x = 15x + -75

Reorder the terms:
33 + 6x = -75 + 15x

Solving
33 + 6x = -75 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
33 + 6x + -15x = -75 + 15x + -15x

Combine like terms: 6x + -15x = -9x
33 + -9x = -75 + 15x + -15x

Combine like terms: 15x + -15x = 0
33 + -9x = -75 + 0
33 + -9x = -75

Add '-33' to each side of the equation.
33 + -33 + -9x = -75 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -75 + -33
-9x = -75 + -33

Combine like terms: -75 + -33 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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