17-4x=6(2x+9)-5

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Solution for 17-4x=6(2x+9)-5 equation:


Simplifying
17 + -4x = 6(2x + 9) + -5

Reorder the terms:
17 + -4x = 6(9 + 2x) + -5
17 + -4x = (9 * 6 + 2x * 6) + -5
17 + -4x = (54 + 12x) + -5

Reorder the terms:
17 + -4x = 54 + -5 + 12x

Combine like terms: 54 + -5 = 49
17 + -4x = 49 + 12x

Solving
17 + -4x = 49 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
17 + -4x + -12x = 49 + 12x + -12x

Combine like terms: -4x + -12x = -16x
17 + -16x = 49 + 12x + -12x

Combine like terms: 12x + -12x = 0
17 + -16x = 49 + 0
17 + -16x = 49

Add '-17' to each side of the equation.
17 + -17 + -16x = 49 + -17

Combine like terms: 17 + -17 = 0
0 + -16x = 49 + -17
-16x = 49 + -17

Combine like terms: 49 + -17 = 32
-16x = 32

Divide each side by '-16'.
x = -2

Simplifying
x = -2

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