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

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


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

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

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

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

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

Solving
3 + 2x = 1 + -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.
3 + 2x + 2x = 1 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
3 + 4x = 1 + 0
3 + 4x = 1

Add '-3' to each side of the equation.
3 + -3 + 4x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 1 + -3
4x = 1 + -3

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

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

Simplifying
x = -0.5

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