(3x+22)+(5x-2)=x

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Solution for (3x+22)+(5x-2)=x equation:


Simplifying
(3x + 22) + (5x + -2) = x

Reorder the terms:
(22 + 3x) + (5x + -2) = x

Remove parenthesis around (22 + 3x)
22 + 3x + (5x + -2) = x

Reorder the terms:
22 + 3x + (-2 + 5x) = x

Remove parenthesis around (-2 + 5x)
22 + 3x + -2 + 5x = x

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

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

Combine like terms: 3x + 5x = 8x
20 + 8x = x

Solving
20 + 8x = 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.
20 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
20 + 7x = x + -1x

Combine like terms: x + -1x = 0
20 + 7x = 0

Add '-20' to each side of the equation.
20 + -20 + 7x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 0 + -20
7x = 0 + -20

Combine like terms: 0 + -20 = -20
7x = -20

Divide each side by '7'.
x = -2.857142857

Simplifying
x = -2.857142857

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