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

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


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

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

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

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

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

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

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

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

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

Solving
-1 + 2x = -3 + 1x

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 + 2x + -1x = -3 + 1x + -1x

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

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

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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