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

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


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

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

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

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

Combine like terms: 3 + 2 = 5
5 + 2x = x + 2x + 1

Reorder the terms:
5 + 2x = 1 + x + 2x

Combine like terms: x + 2x = 3x
5 + 2x = 1 + 3x

Solving
5 + 2x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 2x + -3x = 1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = 1 + 0
5 + -1x = 1

Add '-5' to each side of the equation.
5 + -5 + -1x = 1 + -5

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

Combine like terms: 1 + -5 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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