2(x+1)+3(x-1)-(x-2)=9

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Solution for 2(x+1)+3(x-1)-(x-2)=9 equation: 


Simplifying
2(x + 1) + 3(x + -1) + -1(x + -2) = 9

Reorder the terms:
2(1 + x) + 3(x + -1) + -1(x + -2) = 9
(1 * 2 + x * 2) + 3(x + -1) + -1(x + -2) = 9
(2 + 2x) + 3(x + -1) + -1(x + -2) = 9

Reorder the terms:
2 + 2x + 3(-1 + x) + -1(x + -2) = 9
2 + 2x + (-1 * 3 + x * 3) + -1(x + -2) = 9
2 + 2x + (-3 + 3x) + -1(x + -2) = 9

Reorder the terms:
2 + 2x + -3 + 3x + -1(-2 + x) = 9
2 + 2x + -3 + 3x + (-2 * -1 + x * -1) = 9
2 + 2x + -3 + 3x + (2 + -1x) = 9

Reorder the terms:
2 + -3 + 2 + 2x + 3x + -1x = 9

Combine like terms: 2 + -3 = -1
-1 + 2 + 2x + 3x + -1x = 9

Combine like terms: -1 + 2 = 1
1 + 2x + 3x + -1x = 9

Combine like terms: 2x + 3x = 5x
1 + 5x + -1x = 9

Combine like terms: 5x + -1x = 4x
1 + 4x = 9

Solving
1 + 4x = 9

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 9 + -1
4x = 9 + -1

Combine like terms: 9 + -1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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