(4x+17)=(6x-5)

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Solution for (4x+17)=(6x-5) equation:


Simplifying
(4x + 17) = (6x + -5)

Reorder the terms:
(17 + 4x) = (6x + -5)

Remove parenthesis around (17 + 4x)
17 + 4x = (6x + -5)

Reorder the terms:
17 + 4x = (-5 + 6x)

Remove parenthesis around (-5 + 6x)
17 + 4x = -5 + 6x

Solving
17 + 4x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
17 + 4x + -6x = -5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
17 + -2x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -2x = -5 + 0
17 + -2x = -5

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

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

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

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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