5x+17=14x-64

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Solution for 5x+17=14x-64 equation:


Simplifying
5x + 17 = 14x + -64

Reorder the terms:
17 + 5x = 14x + -64

Reorder the terms:
17 + 5x = -64 + 14x

Solving
17 + 5x = -64 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
17 + 5x + -14x = -64 + 14x + -14x

Combine like terms: 5x + -14x = -9x
17 + -9x = -64 + 14x + -14x

Combine like terms: 14x + -14x = 0
17 + -9x = -64 + 0
17 + -9x = -64

Add '-17' to each side of the equation.
17 + -17 + -9x = -64 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -64 + -17
-9x = -64 + -17

Combine like terms: -64 + -17 = -81
-9x = -81

Divide each side by '-9'.
x = 9

Simplifying
x = 9

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