3x+1=(x-1)+4

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Solution for 3x+1=(x-1)+4 equation:


Simplifying
3x + 1 = (x + -1) + 4

Reorder the terms:
1 + 3x = (x + -1) + 4

Reorder the terms:
1 + 3x = (-1 + x) + 4

Remove parenthesis around (-1 + x)
1 + 3x = -1 + x + 4

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

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 3 + -1

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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