(x+2)+(x-5)=49

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Solution for (x+2)+(x-5)=49 equation:


Simplifying
(x + 2) + (x + -5) = 49

Reorder the terms:
(2 + x) + (x + -5) = 49

Remove parenthesis around (2 + x)
2 + x + (x + -5) = 49

Reorder the terms:
2 + x + (-5 + x) = 49

Remove parenthesis around (-5 + x)
2 + x + -5 + x = 49

Reorder the terms:
2 + -5 + x + x = 49

Combine like terms: 2 + -5 = -3
-3 + x + x = 49

Combine like terms: x + x = 2x
-3 + 2x = 49

Solving
-3 + 2x = 49

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 49 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 49 + 3
2x = 49 + 3

Combine like terms: 49 + 3 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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