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

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


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

Reorder the terms:
2(2 + x) + 2 = (x + 3) + 1
(2 * 2 + x * 2) + 2 = (x + 3) + 1
(4 + 2x) + 2 = (x + 3) + 1

Reorder the terms:
4 + 2 + 2x = (x + 3) + 1

Combine like terms: 4 + 2 = 6
6 + 2x = (x + 3) + 1

Reorder the terms:
6 + 2x = (3 + x) + 1

Remove parenthesis around (3 + x)
6 + 2x = 3 + x + 1

Reorder the terms:
6 + 2x = 3 + 1 + x

Combine like terms: 3 + 1 = 4
6 + 2x = 4 + x

Solving
6 + 2x = 4 + 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.
6 + 2x + -1x = 4 + x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 4 + x + -1x

Combine like terms: x + -1x = 0
6 + 1x = 4 + 0
6 + 1x = 4

Add '-6' to each side of the equation.
6 + -6 + 1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 4 + -6
1x = 4 + -6

Combine like terms: 4 + -6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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