(x+19)+(22-3x)=x

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Solution for (x+19)+(22-3x)=x equation:


Simplifying
(x + 19) + (22 + -3x) = x

Reorder the terms:
(19 + x) + (22 + -3x) = x

Remove parenthesis around (19 + x)
19 + x + (22 + -3x) = x

Remove parenthesis around (22 + -3x)
19 + x + 22 + -3x = x

Reorder the terms:
19 + 22 + x + -3x = x

Combine like terms: 19 + 22 = 41
41 + x + -3x = x

Combine like terms: x + -3x = -2x
41 + -2x = x

Solving
41 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
41 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
41 + -3x = x + -1x

Combine like terms: x + -1x = 0
41 + -3x = 0

Add '-41' to each side of the equation.
41 + -41 + -3x = 0 + -41

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

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

Divide each side by '-3'.
x = 13.66666667

Simplifying
x = 13.66666667

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