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

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


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

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

Reorder the terms:
-2 + 2x = 3(2 + x) + x + -1
-2 + 2x = (2 * 3 + x * 3) + x + -1
-2 + 2x = (6 + 3x) + x + -1

Reorder the terms:
-2 + 2x = 6 + -1 + 3x + x

Combine like terms: 6 + -1 = 5
-2 + 2x = 5 + 3x + x

Combine like terms: 3x + x = 4x
-2 + 2x = 5 + 4x

Solving
-2 + 2x = 5 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-2 + 2x + -4x = 5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2 + -2x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -2x = 5 + 0
-2 + -2x = 5

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

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

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

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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