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

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


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

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

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

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

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

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

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

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

Solving
2 + 5x = 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.
2 + 5x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
2 + 4x = 0

Add '-2' to each side of the equation.
2 + -2 + 4x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 0 + -2
4x = 0 + -2

Combine like terms: 0 + -2 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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