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

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


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

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

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

Remove parenthesis around (3 + 2x)
1 + -3x + 3 + 2x = -4 + 3(x + -1)

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

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

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

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

Combine like terms: -4 + -3 = -7
4 + -1x = -7 + 3x

Solving
4 + -1x = -7 + 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.
4 + -1x + -3x = -7 + 3x + -3x

Combine like terms: -1x + -3x = -4x
4 + -4x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -4x = -7 + 0
4 + -4x = -7

Add '-4' to each side of the equation.
4 + -4 + -4x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -7 + -4
-4x = -7 + -4

Combine like terms: -7 + -4 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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