6X+33=14X-47

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Solution for 6X+33=14X-47 equation:


Simplifying
6X + 33 = 14X + -47

Reorder the terms:
33 + 6X = 14X + -47

Reorder the terms:
33 + 6X = -47 + 14X

Solving
33 + 6X = -47 + 14X

Solving for variable 'X'.

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

Add '-14X' to each side of the equation.
33 + 6X + -14X = -47 + 14X + -14X

Combine like terms: 6X + -14X = -8X
33 + -8X = -47 + 14X + -14X

Combine like terms: 14X + -14X = 0
33 + -8X = -47 + 0
33 + -8X = -47

Add '-33' to each side of the equation.
33 + -33 + -8X = -47 + -33

Combine like terms: 33 + -33 = 0
0 + -8X = -47 + -33
-8X = -47 + -33

Combine like terms: -47 + -33 = -80
-8X = -80

Divide each side by '-8'.
X = 10

Simplifying
X = 10

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