(3-2x)+(x-1)+3x=7+(x-2)

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Solution for (3-2x)+(x-1)+3x=7+(x-2) equation:


Simplifying
(3 + -2x) + (x + -1) + 3x = 7 + (x + -2)

Remove parenthesis around (3 + -2x)
3 + -2x + (x + -1) + 3x = 7 + (x + -2)

Reorder the terms:
3 + -2x + (-1 + x) + 3x = 7 + (x + -2)

Remove parenthesis around (-1 + x)
3 + -2x + -1 + x + 3x = 7 + (x + -2)

Reorder the terms:
3 + -1 + -2x + x + 3x = 7 + (x + -2)

Combine like terms: 3 + -1 = 2
2 + -2x + x + 3x = 7 + (x + -2)

Combine like terms: -2x + x = -1x
2 + -1x + 3x = 7 + (x + -2)

Combine like terms: -1x + 3x = 2x
2 + 2x = 7 + (x + -2)

Reorder the terms:
2 + 2x = 7 + (-2 + x)

Remove parenthesis around (-2 + x)
2 + 2x = 7 + -2 + x

Combine like terms: 7 + -2 = 5
2 + 2x = 5 + x

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

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

Combine like terms: x + -1x = 0
2 + 1x = 5 + 0
2 + 1x = 5

Add '-2' to each side of the equation.
2 + -2 + 1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 5 + -2
1x = 5 + -2

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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