(6x-22)=(x+31)

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Solution for (6x-22)=(x+31) equation:


Simplifying
(6x + -22) = (x + 31)

Reorder the terms:
(-22 + 6x) = (x + 31)

Remove parenthesis around (-22 + 6x)
-22 + 6x = (x + 31)

Reorder the terms:
-22 + 6x = (31 + x)

Remove parenthesis around (31 + x)
-22 + 6x = 31 + x

Solving
-22 + 6x = 31 + 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.
-22 + 6x + -1x = 31 + x + -1x

Combine like terms: 6x + -1x = 5x
-22 + 5x = 31 + x + -1x

Combine like terms: x + -1x = 0
-22 + 5x = 31 + 0
-22 + 5x = 31

Add '22' to each side of the equation.
-22 + 22 + 5x = 31 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 31 + 22
5x = 31 + 22

Combine like terms: 31 + 22 = 53
5x = 53

Divide each side by '5'.
x = 10.6

Simplifying
x = 10.6

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