214-3x=33x+22

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Solution for 214-3x=33x+22 equation:


Simplifying
214 + -3x = 33x + 22

Reorder the terms:
214 + -3x = 22 + 33x

Solving
214 + -3x = 22 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
214 + -3x + -33x = 22 + 33x + -33x

Combine like terms: -3x + -33x = -36x
214 + -36x = 22 + 33x + -33x

Combine like terms: 33x + -33x = 0
214 + -36x = 22 + 0
214 + -36x = 22

Add '-214' to each side of the equation.
214 + -214 + -36x = 22 + -214

Combine like terms: 214 + -214 = 0
0 + -36x = 22 + -214
-36x = 22 + -214

Combine like terms: 22 + -214 = -192
-36x = -192

Divide each side by '-36'.
x = 5.333333333

Simplifying
x = 5.333333333

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