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

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


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

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

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

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

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

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

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

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

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

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

Solving
-1 + 3x = 9 + x

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 + 3x + -1x = 9 + x + -1x

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

Combine like terms: x + -1x = 0
-1 + 2x = 9 + 0
-1 + 2x = 9

Add '1' to each side of the equation.
-1 + 1 + 2x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 9 + 1
2x = 9 + 1

Combine like terms: 9 + 1 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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