22+3x-2=14x-10-5x

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Solution for 22+3x-2=14x-10-5x equation:


Simplifying
22 + 3x + -2 = 14x + -10 + -5x

Reorder the terms:
22 + -2 + 3x = 14x + -10 + -5x

Combine like terms: 22 + -2 = 20
20 + 3x = 14x + -10 + -5x

Reorder the terms:
20 + 3x = -10 + 14x + -5x

Combine like terms: 14x + -5x = 9x
20 + 3x = -10 + 9x

Solving
20 + 3x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 3x + -9x = -10 + 9x + -9x

Combine like terms: 3x + -9x = -6x
20 + -6x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -6x = -10 + 0
20 + -6x = -10

Add '-20' to each side of the equation.
20 + -20 + -6x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -10 + -20
-6x = -10 + -20

Combine like terms: -10 + -20 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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