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

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


Simplifying
(3x + 2) + 5 = (22 + -1x) + 5

Reorder the terms:
(2 + 3x) + 5 = (22 + -1x) + 5

Remove parenthesis around (2 + 3x)
2 + 3x + 5 = (22 + -1x) + 5

Reorder the terms:
2 + 5 + 3x = (22 + -1x) + 5

Combine like terms: 2 + 5 = 7
7 + 3x = (22 + -1x) + 5

Remove parenthesis around (22 + -1x)
7 + 3x = 22 + -1x + 5

Reorder the terms:
7 + 3x = 22 + 5 + -1x

Combine like terms: 22 + 5 = 27
7 + 3x = 27 + -1x

Solving
7 + 3x = 27 + -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.
7 + 3x + x = 27 + -1x + x

Combine like terms: 3x + x = 4x
7 + 4x = 27 + -1x + x

Combine like terms: -1x + x = 0
7 + 4x = 27 + 0
7 + 4x = 27

Add '-7' to each side of the equation.
7 + -7 + 4x = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 27 + -7
4x = 27 + -7

Combine like terms: 27 + -7 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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