6x+33=16x-57

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Solution for 6x+33=16x-57 equation:


Simplifying
6x + 33 = 16x + -57

Reorder the terms:
33 + 6x = 16x + -57

Reorder the terms:
33 + 6x = -57 + 16x

Solving
33 + 6x = -57 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
33 + 6x + -16x = -57 + 16x + -16x

Combine like terms: 6x + -16x = -10x
33 + -10x = -57 + 16x + -16x

Combine like terms: 16x + -16x = 0
33 + -10x = -57 + 0
33 + -10x = -57

Add '-33' to each side of the equation.
33 + -33 + -10x = -57 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -57 + -33
-10x = -57 + -33

Combine like terms: -57 + -33 = -90
-10x = -90

Divide each side by '-10'.
x = 9

Simplifying
x = 9

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