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

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


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

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

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

Remove parenthesis around (1 + x)
2 + 2x + 1 + x + -1(x + -2) = 9

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

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

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

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

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

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

Solving
5 + 2x = 9

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 9 + -5
2x = 9 + -5

Combine like terms: 9 + -5 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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