282-3x=42x-22

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Solution for 282-3x=42x-22 equation:


Simplifying
282 + -3x = 42x + -22

Reorder the terms:
282 + -3x = -22 + 42x

Solving
282 + -3x = -22 + 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.
282 + -3x + -42x = -22 + 42x + -42x

Combine like terms: -3x + -42x = -45x
282 + -45x = -22 + 42x + -42x

Combine like terms: 42x + -42x = 0
282 + -45x = -22 + 0
282 + -45x = -22

Add '-282' to each side of the equation.
282 + -282 + -45x = -22 + -282

Combine like terms: 282 + -282 = 0
0 + -45x = -22 + -282
-45x = -22 + -282

Combine like terms: -22 + -282 = -304
-45x = -304

Divide each side by '-45'.
x = 6.755555556

Simplifying
x = 6.755555556

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