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

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


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

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

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

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

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

Solving
-5 + 3x = 1 + 1x

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.
-5 + 3x + -1x = 1 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-5 + 2x = 1 + 0
-5 + 2x = 1

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

Combine like terms: -5 + 5 = 0
0 + 2x = 1 + 5
2x = 1 + 5

Combine like terms: 1 + 5 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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