214-3x=42x+24

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Solution for 214-3x=42x+24 equation:


Simplifying
214 + -3x = 42x + 24

Reorder the terms:
214 + -3x = 24 + 42x

Solving
214 + -3x = 24 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
214 + -3x + -42x = 24 + 42x + -42x

Combine like terms: -3x + -42x = -45x
214 + -45x = 24 + 42x + -42x

Combine like terms: 42x + -42x = 0
214 + -45x = 24 + 0
214 + -45x = 24

Add '-214' to each side of the equation.
214 + -214 + -45x = 24 + -214

Combine like terms: 214 + -214 = 0
0 + -45x = 24 + -214
-45x = 24 + -214

Combine like terms: 24 + -214 = -190
-45x = -190

Divide each side by '-45'.
x = 4.222222222

Simplifying
x = 4.222222222

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