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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
-2 + -1x = -1 + 0
-2 + -1x = -1

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

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

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

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

Simplifying
x = -1

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