(x-4)+(x-9)=17

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Solution for (x-4)+(x-9)=17 equation:


Simplifying
(x + -4) + (x + -9) = 17

Reorder the terms:
(-4 + x) + (x + -9) = 17

Remove parenthesis around (-4 + x)
-4 + x + (x + -9) = 17

Reorder the terms:
-4 + x + (-9 + x) = 17

Remove parenthesis around (-9 + x)
-4 + x + -9 + x = 17

Reorder the terms:
-4 + -9 + x + x = 17

Combine like terms: -4 + -9 = -13
-13 + x + x = 17

Combine like terms: x + x = 2x
-13 + 2x = 17

Solving
-13 + 2x = 17

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 17 + 13
2x = 17 + 13

Combine like terms: 17 + 13 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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