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

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


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

Remove parenthesis around (3 + -1x)
2x + 3 + -1x = 5 + -1(3x + -1)

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

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

Reorder the terms:
3 + 1x = 5 + -1(-1 + 3x)
3 + 1x = 5 + (-1 * -1 + 3x * -1)
3 + 1x = 5 + (1 + -3x)

Combine like terms: 5 + 1 = 6
3 + 1x = 6 + -3x

Solving
3 + 1x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3 + 1x + 3x = 6 + -3x + 3x

Combine like terms: 1x + 3x = 4x
3 + 4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 4x = 6 + 0
3 + 4x = 6

Add '-3' to each side of the equation.
3 + -3 + 4x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 6 + -3
4x = 6 + -3

Combine like terms: 6 + -3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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