6x+33=1x-47

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Solution for 6x+33=1x-47 equation:


Simplifying
6x + 33 = 1x + -47

Reorder the terms:
33 + 6x = 1x + -47

Reorder the terms:
33 + 6x = -47 + 1x

Solving
33 + 6x = -47 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
33 + 6x + -1x = -47 + 1x + -1x

Combine like terms: 6x + -1x = 5x
33 + 5x = -47 + 1x + -1x

Combine like terms: 1x + -1x = 0
33 + 5x = -47 + 0
33 + 5x = -47

Add '-33' to each side of the equation.
33 + -33 + 5x = -47 + -33

Combine like terms: 33 + -33 = 0
0 + 5x = -47 + -33
5x = -47 + -33

Combine like terms: -47 + -33 = -80
5x = -80

Divide each side by '5'.
x = -16

Simplifying
x = -16

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