7x+(4x-5)=(9x+17)

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Solution for 7x+(4x-5)=(9x+17) equation:


Simplifying
7x + (4x + -5) = (9x + 17)

Reorder the terms:
7x + (-5 + 4x) = (9x + 17)

Remove parenthesis around (-5 + 4x)
7x + -5 + 4x = (9x + 17)

Reorder the terms:
-5 + 7x + 4x = (9x + 17)

Combine like terms: 7x + 4x = 11x
-5 + 11x = (9x + 17)

Reorder the terms:
-5 + 11x = (17 + 9x)

Remove parenthesis around (17 + 9x)
-5 + 11x = 17 + 9x

Solving
-5 + 11x = 17 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 11x + -9x = 17 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-5 + 2x = 17 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + 2x = 17 + 0
-5 + 2x = 17

Add '5' to each side of the equation.
-5 + 5 + 2x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 17 + 5
2x = 17 + 5

Combine like terms: 17 + 5 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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