6x-41=3x+22

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Solution for 6x-41=3x+22 equation:


Simplifying
6x + -41 = 3x + 22

Reorder the terms:
-41 + 6x = 3x + 22

Reorder the terms:
-41 + 6x = 22 + 3x

Solving
-41 + 6x = 22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-41 + 6x + -3x = 22 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-41 + 3x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-41 + 3x = 22 + 0
-41 + 3x = 22

Add '41' to each side of the equation.
-41 + 41 + 3x = 22 + 41

Combine like terms: -41 + 41 = 0
0 + 3x = 22 + 41
3x = 22 + 41

Combine like terms: 22 + 41 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21

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