6x+33=14x-33

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Solution for 6x+33=14x-33 equation:


Simplifying
6x + 33 = 14x + -33

Reorder the terms:
33 + 6x = 14x + -33

Reorder the terms:
33 + 6x = -33 + 14x

Solving
33 + 6x = -33 + 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 = -33 + 14x + -14x

Combine like terms: 6x + -14x = -8x
33 + -8x = -33 + 14x + -14x

Combine like terms: 14x + -14x = 0
33 + -8x = -33 + 0
33 + -8x = -33

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

Combine like terms: 33 + -33 = 0
0 + -8x = -33 + -33
-8x = -33 + -33

Combine like terms: -33 + -33 = -66
-8x = -66

Divide each side by '-8'.
x = 8.25

Simplifying
x = 8.25

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