6x+33=16x-37

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Solution for 6x+33=16x-37 equation: 


Simplifying
6x + 33 = 16x + -37

Reorder the terms:
33 + 6x = 16x + -37

Reorder the terms:
33 + 6x = -37 + 16x

Solving
33 + 6x = -37 + 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 = -37 + 16x + -16x

Combine like terms: 6x + -16x = -10x
33 + -10x = -37 + 16x + -16x

Combine like terms: 16x + -16x = 0
33 + -10x = -37 + 0
33 + -10x = -37

Add '-33' to each side of the equation.
33 + -33 + -10x = -37 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -37 + -33
-10x = -37 + -33

Combine like terms: -37 + -33 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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