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

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Solution for 2x+1=(3x-5)+2x equation:


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

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

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

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

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

Solving
1 + 2x = -5 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -5 + -1 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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