(x+5)+(x-4)=11

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Solution for (x+5)+(x-4)=11 equation:


Simplifying
(x + 5) + (x + -4) = 11

Reorder the terms:
(5 + x) + (x + -4) = 11

Remove parenthesis around (5 + x)
5 + x + (x + -4) = 11

Reorder the terms:
5 + x + (-4 + x) = 11

Remove parenthesis around (-4 + x)
5 + x + -4 + x = 11

Reorder the terms:
5 + -4 + x + x = 11

Combine like terms: 5 + -4 = 1
1 + x + x = 11

Combine like terms: x + x = 2x
1 + 2x = 11

Solving
1 + 2x = 11

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 + 2x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 11 + -1
2x = 11 + -1

Combine like terms: 11 + -1 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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