2x-3+x-2=4-2x+1

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Solution for 2x-3+x-2=4-2x+1 equation: 


Simplifying
2x + -3 + x + -2 = 4 + -2x + 1

Reorder the terms:
-3 + -2 + 2x + x = 4 + -2x + 1

Combine like terms: -3 + -2 = -5
-5 + 2x + x = 4 + -2x + 1

Combine like terms: 2x + x = 3x
-5 + 3x = 4 + -2x + 1

Reorder the terms:
-5 + 3x = 4 + 1 + -2x

Combine like terms: 4 + 1 = 5
-5 + 3x = 5 + -2x

Solving
-5 + 3x = 5 + -2x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 5 + 5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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