(3x+2)+1=(22-x)+1

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Solution for (3x+2)+1=(22-x)+1 equation:


Simplifying
(3x + 2) + 1 = (22 + -1x) + 1

Reorder the terms:
(2 + 3x) + 1 = (22 + -1x) + 1

Remove parenthesis around (2 + 3x)
2 + 3x + 1 = (22 + -1x) + 1

Reorder the terms:
2 + 1 + 3x = (22 + -1x) + 1

Combine like terms: 2 + 1 = 3
3 + 3x = (22 + -1x) + 1

Remove parenthesis around (22 + -1x)
3 + 3x = 22 + -1x + 1

Reorder the terms:
3 + 3x = 22 + 1 + -1x

Combine like terms: 22 + 1 = 23
3 + 3x = 23 + -1x

Solving
3 + 3x = 23 + -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.
3 + 3x + x = 23 + -1x + x

Combine like terms: 3x + x = 4x
3 + 4x = 23 + -1x + x

Combine like terms: -1x + x = 0
3 + 4x = 23 + 0
3 + 4x = 23

Add '-3' to each side of the equation.
3 + -3 + 4x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 23 + -3
4x = 23 + -3

Combine like terms: 23 + -3 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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