2x-3-(3x-1)=2+(x+4)

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Solution for 2x-3-(3x-1)=2+(x+4) equation:


Simplifying
2x + -3 + -1(3x + -1) = 2 + (x + 4)

Reorder the terms:
2x + -3 + -1(-1 + 3x) = 2 + (x + 4)
2x + -3 + (-1 * -1 + 3x * -1) = 2 + (x + 4)
2x + -3 + (1 + -3x) = 2 + (x + 4)

Reorder the terms:
-3 + 1 + 2x + -3x = 2 + (x + 4)

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

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

Reorder the terms:
-2 + -1x = 2 + (4 + x)

Remove parenthesis around (4 + x)
-2 + -1x = 2 + 4 + x

Combine like terms: 2 + 4 = 6
-2 + -1x = 6 + x

Solving
-2 + -1x = 6 + 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 + -1x + -1x = 6 + x + -1x

Combine like terms: -1x + -1x = -2x
-2 + -2x = 6 + x + -1x

Combine like terms: x + -1x = 0
-2 + -2x = 6 + 0
-2 + -2x = 6

Add '2' to each side of the equation.
-2 + 2 + -2x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 6 + 2
-2x = 6 + 2

Combine like terms: 6 + 2 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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