(6x+1)=(22-x)

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Solution for (6x+1)=(22-x) equation:


Simplifying
(6x + 1) = (22 + -1x)

Reorder the terms:
(1 + 6x) = (22 + -1x)

Remove parenthesis around (1 + 6x)
1 + 6x = (22 + -1x)

Remove parenthesis around (22 + -1x)
1 + 6x = 22 + -1x

Solving
1 + 6x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 6x + x = 22 + -1x + x

Combine like terms: 6x + x = 7x
1 + 7x = 22 + -1x + x

Combine like terms: -1x + x = 0
1 + 7x = 22 + 0
1 + 7x = 22

Add '-1' to each side of the equation.
1 + -1 + 7x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 22 + -1
7x = 22 + -1

Combine like terms: 22 + -1 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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